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Finding the Fourth Proportional to 136,670.20, 205,005.30 and 57,758.20

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Solution

The fourth proportional to 136,670.20, 205,005.30 and 57,758.20 is: 86,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,670.20 : 205,005.30 = 57,758.20 : x
  2. Step 2: Convert to fraction form
    136,670.20/205,005.30 = 57,758.20/x
  3. Step 3: Cross multiply
    136,670.20x = 205,005.30 × 57,758.20
  4. Step 4: Simplify right side
    136,670.20x = 11,840,737,118.46
  5. Step 5: Solve for x
    x = 11,840,737,118.46/136,670.20
  6. Step 6: Final answer
    x = 86,637.30

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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.