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Finding the Fourth Proportional to 180,903, 249,646.20 and 100,342.92

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Solution

The fourth proportional to 180,903, 249,646.20 and 100,342.92 is: 138,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,903 : 249,646.20 = 100,342.92 : x
  2. Step 2: Convert to fraction form
    180,903/249,646.20 = 100,342.92/x
  3. Step 3: Cross multiply
    180,903x = 249,646.20 × 100,342.92
  4. Step 4: Simplify right side
    180,903x = 25,050,228,674.90
  5. Step 5: Solve for x
    x = 25,050,228,674.90/180,903
  6. Step 6: Final answer
    x = 138,473.26

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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.