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Finding the Fourth Proportional to 161,779.68, 242,713.26 and 49,463.87

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Solution

The fourth proportional to 161,779.68, 242,713.26 and 49,463.87 is: 74,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,779.68 : 242,713.26 = 49,463.87 : x
  2. Step 2: Convert to fraction form
    161,779.68/242,713.26 = 49,463.87/x
  3. Step 3: Cross multiply
    161,779.68x = 242,713.26 × 49,463.87
  4. Step 4: Simplify right side
    161,779.68x = 12,005,535,926.35
  5. Step 5: Solve for x
    x = 12,005,535,926.35/161,779.68
  6. Step 6: Final answer
    x = 74,209.17

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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.