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Finding the Fourth Proportional to 180,825.57, 249,538.86 and 100,251.03

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Solution

The fourth proportional to 180,825.57, 249,538.86 and 100,251.03 is: 138,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,825.57 : 249,538.86 = 100,251.03 : x
  2. Step 2: Convert to fraction form
    180,825.57/249,538.86 = 100,251.03/x
  3. Step 3: Cross multiply
    180,825.57x = 249,538.86 × 100,251.03
  4. Step 4: Simplify right side
    180,825.57x = 25,016,527,740.03
  5. Step 5: Solve for x
    x = 25,016,527,740.03/180,825.57
  6. Step 6: Final answer
    x = 138,346.18

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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.