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Finding the Fourth Proportional to 153,707.60, 230,593.80 and 64,915.40

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Solution

The fourth proportional to 153,707.60, 230,593.80 and 64,915.40 is: 97,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,707.60 : 230,593.80 = 64,915.40 : x
  2. Step 2: Convert to fraction form
    153,707.60/230,593.80 = 64,915.40/x
  3. Step 3: Cross multiply
    153,707.60x = 230,593.80 × 64,915.40
  4. Step 4: Simplify right side
    153,707.60x = 14,969,088,764.52
  5. Step 5: Solve for x
    x = 14,969,088,764.52/153,707.60
  6. Step 6: Final answer
    x = 97,386.78

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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.