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Finding the Fourth Proportional to 242,709.76, 334,177.23 and 206,339.64

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Solution

The fourth proportional to 242,709.76, 334,177.23 and 206,339.64 is: 284,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,709.76 : 334,177.23 = 206,339.64 : x
  2. Step 2: Convert to fraction form
    242,709.76/334,177.23 = 206,339.64/x
  3. Step 3: Cross multiply
    242,709.76x = 334,177.23 × 206,339.64
  4. Step 4: Simplify right side
    242,709.76x = 68,954,009,334.40
  5. Step 5: Solve for x
    x = 68,954,009,334.40/242,709.76
  6. Step 6: Final answer
    x = 284,100.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.