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Finding the Fourth Proportional to 130,956, 180,719.28 and 71,340

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Solution

The fourth proportional to 130,956, 180,719.28 and 71,340 is: 98,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,956 : 180,719.28 = 71,340 : x
  2. Step 2: Convert to fraction form
    130,956/180,719.28 = 71,340/x
  3. Step 3: Cross multiply
    130,956x = 180,719.28 × 71,340
  4. Step 4: Simplify right side
    130,956x = 12,892,513,435.20
  5. Step 5: Solve for x
    x = 12,892,513,435.20/130,956
  6. Step 6: Final answer
    x = 98,449.20

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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.