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Finding the Fourth Proportional to 180,825.30, 249,538.98 and 100,253.82

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Solution

The fourth proportional to 180,825.30, 249,538.98 and 100,253.82 is: 138,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,825.30 : 249,538.98 = 100,253.82 : x
  2. Step 2: Convert to fraction form
    180,825.30/249,538.98 = 100,253.82/x
  3. Step 3: Cross multiply
    180,825.30x = 249,538.98 × 100,253.82
  4. Step 4: Simplify right side
    180,825.30x = 25,017,235,983.90
  5. Step 5: Solve for x
    x = 25,017,235,983.90/180,825.30
  6. Step 6: Final answer
    x = 138,350.31

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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.