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Finding the Fourth Proportional to 153,974.60, 230,961.90 and 101,443.40

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Solution

The fourth proportional to 153,974.60, 230,961.90 and 101,443.40 is: 152,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,974.60 : 230,961.90 = 101,443.40 : x
  2. Step 2: Convert to fraction form
    153,974.60/230,961.90 = 101,443.40/x
  3. Step 3: Cross multiply
    153,974.60x = 230,961.90 × 101,443.40
  4. Step 4: Simplify right side
    153,974.60x = 23,429,560,406.46
  5. Step 5: Solve for x
    x = 23,429,560,406.46/153,974.60
  6. Step 6: Final answer
    x = 152,165.10

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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.