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Finding the Fourth Proportional to 145,392.61, 200,431.49 and 96,251.86

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Solution

The fourth proportional to 145,392.61, 200,431.49 and 96,251.86 is: 132,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,392.61 : 200,431.49 = 96,251.86 : x
  2. Step 2: Convert to fraction form
    145,392.61/200,431.49 = 96,251.86/x
  3. Step 3: Cross multiply
    145,392.61x = 200,431.49 × 96,251.86
  4. Step 4: Simplify right side
    145,392.61x = 19,291,904,177.84
  5. Step 5: Solve for x
    x = 19,291,904,177.84/145,392.61
  6. Step 6: Final answer
    x = 132,688.34

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Why These Related Problems?

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