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Finding the Fourth Proportional to 127,829.40, 191,744.10 and 65,621.40

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Solution

The fourth proportional to 127,829.40, 191,744.10 and 65,621.40 is: 98,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,829.40 : 191,744.10 = 65,621.40 : x
  2. Step 2: Convert to fraction form
    127,829.40/191,744.10 = 65,621.40/x
  3. Step 3: Cross multiply
    127,829.40x = 191,744.10 × 65,621.40
  4. Step 4: Simplify right side
    127,829.40x = 12,582,516,283.74
  5. Step 5: Solve for x
    x = 12,582,516,283.74/127,829.40
  6. Step 6: Final answer
    x = 98,432.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.