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Finding the Fourth Proportional to 232,756, 349,154.25 and 64,276.54

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Solution

The fourth proportional to 232,756, 349,154.25 and 64,276.54 is: 96,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,756 : 349,154.25 = 64,276.54 : x
  2. Step 2: Convert to fraction form
    232,756/349,154.25 = 64,276.54/x
  3. Step 3: Cross multiply
    232,756x = 349,154.25 × 64,276.54
  4. Step 4: Simplify right side
    232,756x = 22,442,427,116.30
  5. Step 5: Solve for x
    x = 22,442,427,116.30/232,756
  6. Step 6: Final answer
    x = 96,420.40

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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.