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Finding the Fourth Proportional to 201,853.11, 302,781.98 and 86,432.06

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Solution

The fourth proportional to 201,853.11, 302,781.98 and 86,432.06 is: 129,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,853.11 : 302,781.98 = 86,432.06 : x
  2. Step 2: Convert to fraction form
    201,853.11/302,781.98 = 86,432.06/x
  3. Step 3: Cross multiply
    201,853.11x = 302,781.98 × 86,432.06
  4. Step 4: Simplify right side
    201,853.11x = 26,170,070,262.28
  5. Step 5: Solve for x
    x = 26,170,070,262.28/201,853.11
  6. Step 6: Final answer
    x = 129,649.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.