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Finding the Fourth Proportional to 180,674.27, 249,327.25 and 100,100.17

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Solution

The fourth proportional to 180,674.27, 249,327.25 and 100,100.17 is: 138,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,674.27 : 249,327.25 = 100,100.17 : x
  2. Step 2: Convert to fraction form
    180,674.27/249,327.25 = 100,100.17/x
  3. Step 3: Cross multiply
    180,674.27x = 249,327.25 × 100,100.17
  4. Step 4: Simplify right side
    180,674.27x = 24,957,700,110.63
  5. Step 5: Solve for x
    x = 24,957,700,110.63/180,674.27
  6. Step 6: Final answer
    x = 138,136.44

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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.