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Finding the Fourth Proportional to 180,538.46, 249,150.82 and 99,965.91

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Solution

The fourth proportional to 180,538.46, 249,150.82 and 99,965.91 is: 137,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,538.46 : 249,150.82 = 99,965.91 : x
  2. Step 2: Convert to fraction form
    180,538.46/249,150.82 = 99,965.91/x
  3. Step 3: Cross multiply
    180,538.46x = 249,150.82 × 99,965.91
  4. Step 4: Simplify right side
    180,538.46x = 24,906,588,198.63
  5. Step 5: Solve for x
    x = 24,906,588,198.63/180,538.46
  6. Step 6: Final answer
    x = 137,957.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.