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Finding the Fourth Proportional to 133,557.94, 200,347.32 and 38,789.66

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Solution

The fourth proportional to 133,557.94, 200,347.32 and 38,789.66 is: 58,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,557.94 : 200,347.32 = 38,789.66 : x
  2. Step 2: Convert to fraction form
    133,557.94/200,347.32 = 38,789.66/x
  3. Step 3: Cross multiply
    133,557.94x = 200,347.32 × 38,789.66
  4. Step 4: Simplify right side
    133,557.94x = 7,771,404,424.71
  5. Step 5: Solve for x
    x = 7,771,404,424.71/133,557.94
  6. Step 6: Final answer
    x = 58,187.51

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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.