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Finding the Fourth Proportional to 133,574.70, 200,044.02 and 77,296.17

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Solution

The fourth proportional to 133,574.70, 200,044.02 and 77,296.17 is: 115,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574.70 : 200,044.02 = 77,296.17 : x
  2. Step 2: Convert to fraction form
    133,574.70/200,044.02 = 77,296.17/x
  3. Step 3: Cross multiply
    133,574.70x = 200,044.02 × 77,296.17
  4. Step 4: Simplify right side
    133,574.70x = 15,462,635,577.18
  5. Step 5: Solve for x
    x = 15,462,635,577.18/133,574.70
  6. Step 6: Final answer
    x = 115,760.22

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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.