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Finding the Fourth Proportional to 148,902.76, 223,391.76 and 43,721.74

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Solution

The fourth proportional to 148,902.76, 223,391.76 and 43,721.74 is: 65,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,902.76 : 223,391.76 = 43,721.74 : x
  2. Step 2: Convert to fraction form
    148,902.76/223,391.76 = 43,721.74/x
  3. Step 3: Cross multiply
    148,902.76x = 223,391.76 × 43,721.74
  4. Step 4: Simplify right side
    148,902.76x = 9,767,076,448.86
  5. Step 5: Solve for x
    x = 9,767,076,448.86/148,902.76
  6. Step 6: Final answer
    x = 65,593.66

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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.