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Finding the Fourth Proportional to 232,754.50, 349,152 and 64,275.04

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Solution

The fourth proportional to 232,754.50, 349,152 and 64,275.04 is: 96,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,754.50 : 349,152 = 64,275.04 : x
  2. Step 2: Convert to fraction form
    232,754.50/349,152 = 64,275.04/x
  3. Step 3: Cross multiply
    232,754.50x = 349,152 × 64,275.04
  4. Step 4: Simplify right side
    232,754.50x = 22,441,758,766.08
  5. Step 5: Solve for x
    x = 22,441,758,766.08/232,754.50
  6. Step 6: Final answer
    x = 96,418.15

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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.