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Finding the Fourth Proportional to 77,136.13, 106,446.45 and 43,602.13

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Solution

The fourth proportional to 77,136.13, 106,446.45 and 43,602.13 is: 60,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.13 : 106,446.45 = 43,602.13 : x
  2. Step 2: Convert to fraction form
    77,136.13/106,446.45 = 43,602.13/x
  3. Step 3: Cross multiply
    77,136.13x = 106,446.45 × 43,602.13
  4. Step 4: Simplify right side
    77,136.13x = 4,641,291,950.94
  5. Step 5: Solve for x
    x = 4,641,291,950.94/77,136.13
  6. Step 6: Final answer
    x = 60,170.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.