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Finding the Fourth Proportional to 232,722.86, 349,077.32 and 64,253.47

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Solution

The fourth proportional to 232,722.86, 349,077.32 and 64,253.47 is: 96,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,722.86 : 349,077.32 = 64,253.47 : x
  2. Step 2: Convert to fraction form
    232,722.86/349,077.32 = 64,253.47/x
  3. Step 3: Cross multiply
    232,722.86x = 349,077.32 × 64,253.47
  4. Step 4: Simplify right side
    232,722.86x = 22,429,428,787.03
  5. Step 5: Solve for x
    x = 22,429,428,787.03/232,722.86
  6. Step 6: Final answer
    x = 96,378.28

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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.