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Finding the Fourth Proportional to 142,302.80, 213,279.24 and 79,842.08

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Solution

The fourth proportional to 142,302.80, 213,279.24 and 79,842.08 is: 119,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,302.80 : 213,279.24 = 79,842.08 : x
  2. Step 2: Convert to fraction form
    142,302.80/213,279.24 = 79,842.08/x
  3. Step 3: Cross multiply
    142,302.80x = 213,279.24 × 79,842.08
  4. Step 4: Simplify right side
    142,302.80x = 17,028,658,142.42
  5. Step 5: Solve for x
    x = 17,028,658,142.42/142,302.80
  6. Step 6: Final answer
    x = 119,664.95

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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.