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Finding the Fourth Proportional to 153,842.20, 230,787.06 and 65,096.20

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Solution

The fourth proportional to 153,842.20, 230,787.06 and 65,096.20 is: 97,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,842.20 : 230,787.06 = 65,096.20 : x
  2. Step 2: Convert to fraction form
    153,842.20/230,787.06 = 65,096.20/x
  3. Step 3: Cross multiply
    153,842.20x = 230,787.06 × 65,096.20
  4. Step 4: Simplify right side
    153,842.20x = 15,023,360,615.17
  5. Step 5: Solve for x
    x = 15,023,360,615.17/153,842.20
  6. Step 6: Final answer
    x = 97,654.35

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1.5x scale

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.