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Finding the Fourth Proportional to 172,824.70, 259,237.05 and 48,165.70

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Solution

The fourth proportional to 172,824.70, 259,237.05 and 48,165.70 is: 72,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,824.70 : 259,237.05 = 48,165.70 : x
  2. Step 2: Convert to fraction form
    172,824.70/259,237.05 = 48,165.70/x
  3. Step 3: Cross multiply
    172,824.70x = 259,237.05 × 48,165.70
  4. Step 4: Simplify right side
    172,824.70x = 12,486,333,979.19
  5. Step 5: Solve for x
    x = 12,486,333,979.19/172,824.70
  6. Step 6: Final answer
    x = 72,248.55

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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.