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Finding the Fourth Proportional to 180,856.18, 249,587.70 and 100,279

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Solution

The fourth proportional to 180,856.18, 249,587.70 and 100,279 is: 138,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,856.18 : 249,587.70 = 100,279 : x
  2. Step 2: Convert to fraction form
    180,856.18/249,587.70 = 100,279/x
  3. Step 3: Cross multiply
    180,856.18x = 249,587.70 × 100,279
  4. Step 4: Simplify right side
    180,856.18x = 25,028,404,968.30
  5. Step 5: Solve for x
    x = 25,028,404,968.30/180,856.18
  6. Step 6: Final answer
    x = 138,388.44

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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.