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Finding the Fourth Proportional to 100,833.66, 151,250.49 and 34,321.52

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Solution

The fourth proportional to 100,833.66, 151,250.49 and 34,321.52 is: 51,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,833.66 : 151,250.49 = 34,321.52 : x
  2. Step 2: Convert to fraction form
    100,833.66/151,250.49 = 34,321.52/x
  3. Step 3: Cross multiply
    100,833.66x = 151,250.49 × 34,321.52
  4. Step 4: Simplify right side
    100,833.66x = 5,191,147,095.67
  5. Step 5: Solve for x
    x = 5,191,147,095.67/100,833.66
  6. Step 6: Final answer
    x = 51,482.28

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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.