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Finding the Fourth Proportional to 232,642.85, 348,966.05 and 127,404.41

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Solution

The fourth proportional to 232,642.85, 348,966.05 and 127,404.41 is: 191,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,642.85 : 348,966.05 = 127,404.41 : x
  2. Step 2: Convert to fraction form
    232,642.85/348,966.05 = 127,404.41/x
  3. Step 3: Cross multiply
    232,642.85x = 348,966.05 × 127,404.41
  4. Step 4: Simplify right side
    232,642.85x = 44,459,811,328.43
  5. Step 5: Solve for x
    x = 44,459,811,328.43/232,642.85
  6. Step 6: Final answer
    x = 191,107.58

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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.