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Finding the Fourth Proportional to 242,000.30, 363,130.05 and 101,773.10

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Solution

The fourth proportional to 242,000.30, 363,130.05 and 101,773.10 is: 152,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,000.30 : 363,130.05 = 101,773.10 : x
  2. Step 2: Convert to fraction form
    242,000.30/363,130.05 = 101,773.10/x
  3. Step 3: Cross multiply
    242,000.30x = 363,130.05 × 101,773.10
  4. Step 4: Simplify right side
    242,000.30x = 36,956,870,891.66
  5. Step 5: Solve for x
    x = 36,956,870,891.66/242,000.30
  6. Step 6: Final answer
    x = 152,714.15

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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.