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Finding the Fourth Proportional to 291,948.14, 402,888.24 and 157,812.14

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Solution

The fourth proportional to 291,948.14, 402,888.24 and 157,812.14 is: 217,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,948.14 : 402,888.24 = 157,812.14 : x
  2. Step 2: Convert to fraction form
    291,948.14/402,888.24 = 157,812.14/x
  3. Step 3: Cross multiply
    291,948.14x = 402,888.24 × 157,812.14
  4. Step 4: Simplify right side
    291,948.14x = 63,580,655,335.23
  5. Step 5: Solve for x
    x = 63,580,655,335.23/291,948.14
  6. Step 6: Final answer
    x = 217,780.65

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