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Finding the Fourth Proportional to 136,878.66, 205,282.35 and 57,952.26

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Solution

The fourth proportional to 136,878.66, 205,282.35 and 57,952.26 is: 86,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,878.66 : 205,282.35 = 57,952.26 : x
  2. Step 2: Convert to fraction form
    136,878.66/205,282.35 = 57,952.26/x
  3. Step 3: Cross multiply
    136,878.66x = 205,282.35 × 57,952.26
  4. Step 4: Simplify right side
    136,878.66x = 11,896,576,120.61
  5. Step 5: Solve for x
    x = 11,896,576,120.61/136,878.66
  6. Step 6: Final answer
    x = 86,913.30

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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.