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Finding the Fourth Proportional to 232,572.60, 348,391.80 and 106,038.78

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Solution

The fourth proportional to 232,572.60, 348,391.80 and 106,038.78 is: 158,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,572.60 : 348,391.80 = 106,038.78 : x
  2. Step 2: Convert to fraction form
    232,572.60/348,391.80 = 106,038.78/x
  3. Step 3: Cross multiply
    232,572.60x = 348,391.80 × 106,038.78
  4. Step 4: Simplify right side
    232,572.60x = 36,943,041,434.00
  5. Step 5: Solve for x
    x = 36,943,041,434.00/232,572.60
  6. Step 6: Final answer
    x = 158,845.20

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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.