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Finding the Fourth Proportional to 232,641.85, 348,964.59 and 127,403.41

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Solution

The fourth proportional to 232,641.85, 348,964.59 and 127,403.41 is: 191,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,641.85 : 348,964.59 = 127,403.41 : x
  2. Step 2: Convert to fraction form
    232,641.85/348,964.59 = 127,403.41/x
  3. Step 3: Cross multiply
    232,641.85x = 348,964.59 × 127,403.41
  4. Step 4: Simplify right side
    232,641.85x = 44,459,278,735.25
  5. Step 5: Solve for x
    x = 44,459,278,735.25/232,641.85
  6. Step 6: Final answer
    x = 191,106.11

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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.