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Finding the Fourth Proportional to 180,909.76, 249,670.38 and 100,363.24

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Solution

The fourth proportional to 180,909.76, 249,670.38 and 100,363.24 is: 138,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,909.76 : 249,670.38 = 100,363.24 : x
  2. Step 2: Convert to fraction form
    180,909.76/249,670.38 = 100,363.24/x
  3. Step 3: Cross multiply
    180,909.76x = 249,670.38 × 100,363.24
  4. Step 4: Simplify right side
    180,909.76x = 25,057,728,268.83
  5. Step 5: Solve for x
    x = 25,057,728,268.83/180,909.76
  6. Step 6: Final answer
    x = 138,509.54

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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.