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Finding the Fourth Proportional to 153,863.30, 230,622.15 and 65,101.70

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Solution

The fourth proportional to 153,863.30, 230,622.15 and 65,101.70 is: 97,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,863.30 : 230,622.15 = 65,101.70 : x
  2. Step 2: Convert to fraction form
    153,863.30/230,622.15 = 65,101.70/x
  3. Step 3: Cross multiply
    153,863.30x = 230,622.15 × 65,101.70
  4. Step 4: Simplify right side
    153,863.30x = 15,013,894,022.66
  5. Step 5: Solve for x
    x = 15,013,894,022.66/153,863.30
  6. Step 6: Final answer
    x = 97,579.44

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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.