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Finding the Fourth Proportional to 172,156.98, 258,250.36 and 47,497.98

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Solution

The fourth proportional to 172,156.98, 258,250.36 and 47,497.98 is: 71,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,156.98 : 258,250.36 = 47,497.98 : x
  2. Step 2: Convert to fraction form
    172,156.98/258,250.36 = 47,497.98/x
  3. Step 3: Cross multiply
    172,156.98x = 258,250.36 × 47,497.98
  4. Step 4: Simplify right side
    172,156.98x = 12,266,370,434.27
  5. Step 5: Solve for x
    x = 12,266,370,434.27/172,156.98
  6. Step 6: Final answer
    x = 71,251.08

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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.