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Finding the Fourth Proportional to 132,157.66, 182,377.74 and 71,728.29

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Solution

The fourth proportional to 132,157.66, 182,377.74 and 71,728.29 is: 98,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,157.66 : 182,377.74 = 71,728.29 : x
  2. Step 2: Convert to fraction form
    132,157.66/182,377.74 = 71,728.29/x
  3. Step 3: Cross multiply
    132,157.66x = 182,377.74 × 71,728.29
  4. Step 4: Simplify right side
    132,157.66x = 13,081,643,973.69
  5. Step 5: Solve for x
    x = 13,081,643,973.69/132,157.66
  6. Step 6: Final answer
    x = 98,985.14

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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.