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Finding the Fourth Proportional to 172,476.14, 258,753.08 and 52,543.82

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Solution

The fourth proportional to 172,476.14, 258,753.08 and 52,543.82 is: 78,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,476.14 : 258,753.08 = 52,543.82 : x
  2. Step 2: Convert to fraction form
    172,476.14/258,753.08 = 52,543.82/x
  3. Step 3: Cross multiply
    172,476.14x = 258,753.08 × 52,543.82
  4. Step 4: Simplify right side
    172,476.14x = 13,595,876,038.21
  5. Step 5: Solve for x
    x = 13,595,876,038.21/172,476.14
  6. Step 6: Final answer
    x = 78,827.58

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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.