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Finding the Fourth Proportional to 132,424.34, 182,741.74 and 75,068.98

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Solution

The fourth proportional to 132,424.34, 182,741.74 and 75,068.98 is: 103,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,424.34 : 182,741.74 = 75,068.98 : x
  2. Step 2: Convert to fraction form
    132,424.34/182,741.74 = 75,068.98/x
  3. Step 3: Cross multiply
    132,424.34x = 182,741.74 × 75,068.98
  4. Step 4: Simplify right side
    132,424.34x = 13,718,235,380.70
  5. Step 5: Solve for x
    x = 13,718,235,380.70/132,424.34
  6. Step 6: Final answer
    x = 103,593.01

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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.