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Finding the Fourth Proportional to 291,956.86, 402,901.05 and 157,820.86

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Solution

The fourth proportional to 291,956.86, 402,901.05 and 157,820.86 is: 217,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,956.86 : 402,901.05 = 157,820.86 : x
  2. Step 2: Convert to fraction form
    291,956.86/402,901.05 = 157,820.86/x
  3. Step 3: Cross multiply
    291,956.86x = 402,901.05 × 157,820.86
  4. Step 4: Simplify right side
    291,956.86x = 63,586,190,205.90
  5. Step 5: Solve for x
    x = 63,586,190,205.90/291,956.86
  6. Step 6: Final answer
    x = 217,793.10

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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.