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Finding the Fourth Proportional to 104,145.68, 156,225.80 and 51,541.04

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Solution

The fourth proportional to 104,145.68, 156,225.80 and 51,541.04 is: 77,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,145.68 : 156,225.80 = 51,541.04 : x
  2. Step 2: Convert to fraction form
    104,145.68/156,225.80 = 51,541.04/x
  3. Step 3: Cross multiply
    104,145.68x = 156,225.80 × 51,541.04
  4. Step 4: Simplify right side
    104,145.68x = 8,052,040,726.25
  5. Step 5: Solve for x
    x = 8,052,040,726.25/104,145.68
  6. Step 6: Final answer
    x = 77,315.17

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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.