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Finding the Fourth Proportional to 242,164.76, 334,182.15 and 140,194.53

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Solution

The fourth proportional to 242,164.76, 334,182.15 and 140,194.53 is: 193,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,164.76 : 334,182.15 = 140,194.53 : x
  2. Step 2: Convert to fraction form
    242,164.76/334,182.15 = 140,194.53/x
  3. Step 3: Cross multiply
    242,164.76x = 334,182.15 × 140,194.53
  4. Step 4: Simplify right side
    242,164.76x = 46,850,509,453.64
  5. Step 5: Solve for x
    x = 46,850,509,453.64/242,164.76
  6. Step 6: Final answer
    x = 193,465.43

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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.