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Finding the Fourth Proportional to 132,381.50, 182,686.47 and 72,765.50

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Solution

The fourth proportional to 132,381.50, 182,686.47 and 72,765.50 is: 100,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,381.50 : 182,686.47 = 72,765.50 : x
  2. Step 2: Convert to fraction form
    132,381.50/182,686.47 = 72,765.50/x
  3. Step 3: Cross multiply
    132,381.50x = 182,686.47 × 72,765.50
  4. Step 4: Simplify right side
    132,381.50x = 13,293,272,332.79
  5. Step 5: Solve for x
    x = 13,293,272,332.79/132,381.50
  6. Step 6: Final answer
    x = 100,416.39

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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.