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Finding the Fourth Proportional to 132,590.34, 182,971.14 and 72,159.68

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Solution

The fourth proportional to 132,590.34, 182,971.14 and 72,159.68 is: 99,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,590.34 : 182,971.14 = 72,159.68 : x
  2. Step 2: Convert to fraction form
    132,590.34/182,971.14 = 72,159.68/x
  3. Step 3: Cross multiply
    132,590.34x = 182,971.14 × 72,159.68
  4. Step 4: Simplify right side
    132,590.34x = 13,203,137,996.78
  5. Step 5: Solve for x
    x = 13,203,137,996.78/132,590.34
  6. Step 6: Final answer
    x = 99,578.43

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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.