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Finding the Fourth Proportional to 172,146.59, 258,199.33 and 45,796.11

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Solution

The fourth proportional to 172,146.59, 258,199.33 and 45,796.11 is: 68,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,146.59 : 258,199.33 = 45,796.11 : x
  2. Step 2: Convert to fraction form
    172,146.59/258,199.33 = 45,796.11/x
  3. Step 3: Cross multiply
    172,146.59x = 258,199.33 × 45,796.11
  4. Step 4: Simplify right side
    172,146.59x = 11,824,524,918.61
  5. Step 5: Solve for x
    x = 11,824,524,918.61/172,146.59
  6. Step 6: Final answer
    x = 68,688.70

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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.