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Finding the Fourth Proportional to 161,765.30, 242,590.35 and 73,061.30

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Solution

The fourth proportional to 161,765.30, 242,590.35 and 73,061.30 is: 109,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,765.30 : 242,590.35 = 73,061.30 : x
  2. Step 2: Convert to fraction form
    161,765.30/242,590.35 = 73,061.30/x
  3. Step 3: Cross multiply
    161,765.30x = 242,590.35 × 73,061.30
  4. Step 4: Simplify right side
    161,765.30x = 17,723,966,338.46
  5. Step 5: Solve for x
    x = 17,723,966,338.46/161,765.30
  6. Step 6: Final answer
    x = 109,565.93

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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.