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Finding the Fourth Proportional to 114,893.83, 172,371.12 and 52,549.75

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Solution

The fourth proportional to 114,893.83, 172,371.12 and 52,549.75 is: 78,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,893.83 : 172,371.12 = 52,549.75 : x
  2. Step 2: Convert to fraction form
    114,893.83/172,371.12 = 52,549.75/x
  3. Step 3: Cross multiply
    114,893.83x = 172,371.12 × 52,549.75
  4. Step 4: Simplify right side
    114,893.83x = 9,058,059,263.22
  5. Step 5: Solve for x
    x = 9,058,059,263.22/114,893.83
  6. Step 6: Final answer
    x = 78,838.52

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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.