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Finding the Fourth Proportional to 103,257, 142,503.30 and 58,553.64

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Solution

The fourth proportional to 103,257, 142,503.30 and 58,553.64 is: 80,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,257 : 142,503.30 = 58,553.64 : x
  2. Step 2: Convert to fraction form
    103,257/142,503.30 = 58,553.64/x
  3. Step 3: Cross multiply
    103,257x = 142,503.30 × 58,553.64
  4. Step 4: Simplify right side
    103,257x = 8,344,086,927.01
  5. Step 5: Solve for x
    x = 8,344,086,927.01/103,257
  6. Step 6: Final answer
    x = 80,808.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.