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Finding the Fourth Proportional to 213,265.18, 319,896.85 and 86,877.24

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Solution

The fourth proportional to 213,265.18, 319,896.85 and 86,877.24 is: 130,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,265.18 : 319,896.85 = 86,877.24 : x
  2. Step 2: Convert to fraction form
    213,265.18/319,896.85 = 86,877.24/x
  3. Step 3: Cross multiply
    213,265.18x = 319,896.85 × 86,877.24
  4. Step 4: Simplify right side
    213,265.18x = 27,791,755,412.69
  5. Step 5: Solve for x
    x = 27,791,755,412.69/213,265.18
  6. Step 6: Final answer
    x = 130,315.49

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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.