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Finding the Fourth Proportional to 162,404.68, 243,678.23 and 77,077.17

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Solution

The fourth proportional to 162,404.68, 243,678.23 and 77,077.17 is: 115,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,404.68 : 243,678.23 = 77,077.17 : x
  2. Step 2: Convert to fraction form
    162,404.68/243,678.23 = 77,077.17/x
  3. Step 3: Cross multiply
    162,404.68x = 243,678.23 × 77,077.17
  4. Step 4: Simplify right side
    162,404.68x = 18,782,028,359.01
  5. Step 5: Solve for x
    x = 18,782,028,359.01/162,404.68
  6. Step 6: Final answer
    x = 115,649.55

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