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Finding the Fourth Proportional to 172,417.50, 258,442.20 and 83,475.90

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Solution

The fourth proportional to 172,417.50, 258,442.20 and 83,475.90 is: 125,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,417.50 : 258,442.20 = 83,475.90 : x
  2. Step 2: Convert to fraction form
    172,417.50/258,442.20 = 83,475.90/x
  3. Step 3: Cross multiply
    172,417.50x = 258,442.20 × 83,475.90
  4. Step 4: Simplify right side
    172,417.50x = 21,573,695,242.98
  5. Step 5: Solve for x
    x = 21,573,695,242.98/172,417.50
  6. Step 6: Final answer
    x = 125,124.74

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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.