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Finding the Fourth Proportional to 153,821.70, 230,732.55 and 48,672.90

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Solution

The fourth proportional to 153,821.70, 230,732.55 and 48,672.90 is: 73,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,821.70 : 230,732.55 = 48,672.90 : x
  2. Step 2: Convert to fraction form
    153,821.70/230,732.55 = 48,672.90/x
  3. Step 3: Cross multiply
    153,821.70x = 230,732.55 × 48,672.90
  4. Step 4: Simplify right side
    153,821.70x = 11,230,422,332.90
  5. Step 5: Solve for x
    x = 11,230,422,332.90/153,821.70
  6. Step 6: Final answer
    x = 73,009.35

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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.