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Finding the Fourth Proportional to 133,806.57, 200,646.25 and 77,663.89

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Solution

The fourth proportional to 133,806.57, 200,646.25 and 77,663.89 is: 116,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,806.57 : 200,646.25 = 77,663.89 : x
  2. Step 2: Convert to fraction form
    133,806.57/200,646.25 = 77,663.89/x
  3. Step 3: Cross multiply
    133,806.57x = 200,646.25 × 77,663.89
  4. Step 4: Simplify right side
    133,806.57x = 15,582,968,288.91
  5. Step 5: Solve for x
    x = 15,582,968,288.91/133,806.57
  6. Step 6: Final answer
    x = 116,458.92

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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.