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Finding the Fourth Proportional to 133,058.40, 199,357.20 and 86,287.20

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Solution

The fourth proportional to 133,058.40, 199,357.20 and 86,287.20 is: 129,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058.40 : 199,357.20 = 86,287.20 : x
  2. Step 2: Convert to fraction form
    133,058.40/199,357.20 = 86,287.20/x
  3. Step 3: Cross multiply
    133,058.40x = 199,357.20 × 86,287.20
  4. Step 4: Simplify right side
    133,058.40x = 17,201,974,587.84
  5. Step 5: Solve for x
    x = 17,201,974,587.84/133,058.40
  6. Step 6: Final answer
    x = 129,281.39

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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.