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Finding the Fourth Proportional to 209,643.64, 289,308.57 and 114,150.73

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Solution

The fourth proportional to 209,643.64, 289,308.57 and 114,150.73 is: 157,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,643.64 : 289,308.57 = 114,150.73 : x
  2. Step 2: Convert to fraction form
    209,643.64/289,308.57 = 114,150.73/x
  3. Step 3: Cross multiply
    209,643.64x = 289,308.57 × 114,150.73
  4. Step 4: Simplify right side
    209,643.64x = 33,024,784,460.76
  5. Step 5: Solve for x
    x = 33,024,784,460.76/209,643.64
  6. Step 6: Final answer
    x = 157,528.20

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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.