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Finding the Fourth Proportional to 180,784.53, 249,456.42 and 100,212

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Solution

The fourth proportional to 180,784.53, 249,456.42 and 100,212 is: 138,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,784.53 : 249,456.42 = 100,212 : x
  2. Step 2: Convert to fraction form
    180,784.53/249,456.42 = 100,212/x
  3. Step 3: Cross multiply
    180,784.53x = 249,456.42 × 100,212
  4. Step 4: Simplify right side
    180,784.53x = 24,998,526,761.04
  5. Step 5: Solve for x
    x = 24,998,526,761.04/180,784.53
  6. Step 6: Final answer
    x = 138,278.02

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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.