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Finding the Fourth Proportional to 232,573.60, 348,393.30 and 106,039.78

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Solution

The fourth proportional to 232,573.60, 348,393.30 and 106,039.78 is: 158,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,573.60 : 348,393.30 = 106,039.78 : x
  2. Step 2: Convert to fraction form
    232,573.60/348,393.30 = 106,039.78/x
  3. Step 3: Cross multiply
    232,573.60x = 348,393.30 × 106,039.78
  4. Step 4: Simplify right side
    232,573.60x = 36,943,548,885.47
  5. Step 5: Solve for x
    x = 36,943,548,885.47/232,573.60
  6. Step 6: Final answer
    x = 158,846.70

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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.