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Finding the Fourth Proportional to 142,443.60, 213,383.80 and 124,933.20

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Solution

The fourth proportional to 142,443.60, 213,383.80 and 124,933.20 is: 187,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443.60 : 213,383.80 = 124,933.20 : x
  2. Step 2: Convert to fraction form
    142,443.60/213,383.80 = 124,933.20/x
  3. Step 3: Cross multiply
    142,443.60x = 213,383.80 × 124,933.20
  4. Step 4: Simplify right side
    142,443.60x = 26,658,720,962.16
  5. Step 5: Solve for x
    x = 26,658,720,962.16/142,443.60
  6. Step 6: Final answer
    x = 187,152.82

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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.