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Finding the Fourth Proportional to 147,282.98, 203,276.97 and 86,850

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Solution

The fourth proportional to 147,282.98, 203,276.97 and 86,850 is: 119,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,282.98 : 203,276.97 = 86,850 : x
  2. Step 2: Convert to fraction form
    147,282.98/203,276.97 = 86,850/x
  3. Step 3: Cross multiply
    147,282.98x = 203,276.97 × 86,850
  4. Step 4: Simplify right side
    147,282.98x = 17,654,604,844.50
  5. Step 5: Solve for x
    x = 17,654,604,844.50/147,282.98
  6. Step 6: Final answer
    x = 119,868.61

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