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Finding the Fourth Proportional to 207,921.38, 286,931.68 and 112,428.14

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Solution

The fourth proportional to 207,921.38, 286,931.68 and 112,428.14 is: 155,150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,921.38 : 286,931.68 = 112,428.14 : x
  2. Step 2: Convert to fraction form
    207,921.38/286,931.68 = 112,428.14/x
  3. Step 3: Cross multiply
    207,921.38x = 286,931.68 × 112,428.14
  4. Step 4: Simplify right side
    207,921.38x = 32,259,195,089.48
  5. Step 5: Solve for x
    x = 32,259,195,089.48/207,921.38
  6. Step 6: Final answer
    x = 155,150.93

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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.