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Finding the Fourth Proportional to 232,844.32, 349,302.72 and 75,088.72

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Solution

The fourth proportional to 232,844.32, 349,302.72 and 75,088.72 is: 112,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,844.32 : 349,302.72 = 75,088.72 : x
  2. Step 2: Convert to fraction form
    232,844.32/349,302.72 = 75,088.72/x
  3. Step 3: Cross multiply
    232,844.32x = 349,302.72 × 75,088.72
  4. Step 4: Simplify right side
    232,844.32x = 26,228,692,390.80
  5. Step 5: Solve for x
    x = 26,228,692,390.80/232,844.32
  6. Step 6: Final answer
    x = 112,644.76

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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.