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Finding the Fourth Proportional to 132,137.39, 182,350.08 and 71,708.02

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Solution

The fourth proportional to 132,137.39, 182,350.08 and 71,708.02 is: 98,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,137.39 : 182,350.08 = 71,708.02 : x
  2. Step 2: Convert to fraction form
    132,137.39/182,350.08 = 71,708.02/x
  3. Step 3: Cross multiply
    132,137.39x = 182,350.08 × 71,708.02
  4. Step 4: Simplify right side
    132,137.39x = 13,075,962,727.77
  5. Step 5: Solve for x
    x = 13,075,962,727.77/132,137.39
  6. Step 6: Final answer
    x = 98,957.32

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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.