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Finding the Fourth Proportional to 136,057.80, 204,088.80 and 51,822.66

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Solution

The fourth proportional to 136,057.80, 204,088.80 and 51,822.66 is: 77,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,057.80 : 204,088.80 = 51,822.66 : x
  2. Step 2: Convert to fraction form
    136,057.80/204,088.80 = 51,822.66/x
  3. Step 3: Cross multiply
    136,057.80x = 204,088.80 × 51,822.66
  4. Step 4: Simplify right side
    136,057.80x = 10,576,424,492.21
  5. Step 5: Solve for x
    x = 10,576,424,492.21/136,057.80
  6. Step 6: Final answer
    x = 77,734.79

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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.