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Finding the Fourth Proportional to 232,877.52, 349,384.32 and 75,102.48

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Solution

The fourth proportional to 232,877.52, 349,384.32 and 75,102.48 is: 112,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,877.52 : 349,384.32 = 75,102.48 : x
  2. Step 2: Convert to fraction form
    232,877.52/349,384.32 = 75,102.48/x
  3. Step 3: Cross multiply
    232,877.52x = 349,384.32 × 75,102.48
  4. Step 4: Simplify right side
    232,877.52x = 26,239,628,905.11
  5. Step 5: Solve for x
    x = 26,239,628,905.11/232,877.52
  6. Step 6: Final answer
    x = 112,675.66

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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.