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Finding the Fourth Proportional to 146,411.90, 219,617.85 and 71,567.90

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Solution

The fourth proportional to 146,411.90, 219,617.85 and 71,567.90 is: 107,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,411.90 : 219,617.85 = 71,567.90 : x
  2. Step 2: Convert to fraction form
    146,411.90/219,617.85 = 71,567.90/x
  3. Step 3: Cross multiply
    146,411.90x = 219,617.85 × 71,567.90
  4. Step 4: Simplify right side
    146,411.90x = 15,717,588,327.02
  5. Step 5: Solve for x
    x = 15,717,588,327.02/146,411.90
  6. Step 6: Final answer
    x = 107,351.85

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1.5x scale

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.