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Finding the Fourth Proportional to 291,844.92, 402,746.16 and 157,708.92

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Solution

The fourth proportional to 291,844.92, 402,746.16 and 157,708.92 is: 217,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,844.92 : 402,746.16 = 157,708.92 : x
  2. Step 2: Convert to fraction form
    291,844.92/402,746.16 = 157,708.92/x
  3. Step 3: Cross multiply
    291,844.92x = 402,746.16 × 157,708.92
  4. Step 4: Simplify right side
    291,844.92x = 63,516,661,927.75
  5. Step 5: Solve for x
    x = 63,516,661,927.75/291,844.92
  6. Step 6: Final answer
    x = 217,638.40

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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.