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Finding the Fourth Proportional to 153,397.30, 230,103.15 and 48,219.70

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Solution

The fourth proportional to 153,397.30, 230,103.15 and 48,219.70 is: 72,331.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,397.30 : 230,103.15 = 48,219.70 : x
  2. Step 2: Convert to fraction form
    153,397.30/230,103.15 = 48,219.70/x
  3. Step 3: Cross multiply
    153,397.30x = 230,103.15 × 48,219.70
  4. Step 4: Simplify right side
    153,397.30x = 11,095,504,862.06
  5. Step 5: Solve for x
    x = 11,095,504,862.06/153,397.30
  6. Step 6: Final answer
    x = 72,331.81

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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.