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Finding the Fourth Proportional to 242,057.30, 362,956.35 and 101,657.30

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Solution

The fourth proportional to 242,057.30, 362,956.35 and 101,657.30 is: 152,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,057.30 : 362,956.35 = 101,657.30 : x
  2. Step 2: Convert to fraction form
    242,057.30/362,956.35 = 101,657.30/x
  3. Step 3: Cross multiply
    242,057.30x = 362,956.35 × 101,657.30
  4. Step 4: Simplify right side
    242,057.30x = 36,897,162,558.86
  5. Step 5: Solve for x
    x = 36,897,162,558.86/242,057.30
  6. Step 6: Final answer
    x = 152,431.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.