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Finding the Fourth Proportional to 132,294.34, 182,569.48 and 71,864.98

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Solution

The fourth proportional to 132,294.34, 182,569.48 and 71,864.98 is: 99,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294.34 : 182,569.48 = 71,864.98 : x
  2. Step 2: Convert to fraction form
    132,294.34/182,569.48 = 71,864.98/x
  3. Step 3: Cross multiply
    132,294.34x = 182,569.48 × 71,864.98
  4. Step 4: Simplify right side
    132,294.34x = 13,120,352,028.81
  5. Step 5: Solve for x
    x = 13,120,352,028.81/132,294.34
  6. Step 6: Final answer
    x = 99,175.46

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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.