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Finding the Fourth Proportional to 180,724.30, 249,388.24 and 100,147.12

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Solution

The fourth proportional to 180,724.30, 249,388.24 and 100,147.12 is: 138,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,724.30 : 249,388.24 = 100,147.12 : x
  2. Step 2: Convert to fraction form
    180,724.30/249,388.24 = 100,147.12/x
  3. Step 3: Cross multiply
    180,724.30x = 249,388.24 × 100,147.12
  4. Step 4: Simplify right side
    180,724.30x = 24,975,513,997.87
  5. Step 5: Solve for x
    x = 24,975,513,997.87/180,724.30
  6. Step 6: Final answer
    x = 138,196.77

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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.