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Finding the Fourth Proportional to 132,494.64, 182,860.26 and 75,154.71

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Solution

The fourth proportional to 132,494.64, 182,860.26 and 75,154.71 is: 103,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,494.64 : 182,860.26 = 75,154.71 : x
  2. Step 2: Convert to fraction form
    132,494.64/182,860.26 = 75,154.71/x
  3. Step 3: Cross multiply
    132,494.64x = 182,860.26 × 75,154.71
  4. Step 4: Simplify right side
    132,494.64x = 13,742,809,810.82
  5. Step 5: Solve for x
    x = 13,742,809,810.82/132,494.64
  6. Step 6: Final answer
    x = 103,723.52

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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.