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Finding the Fourth Proportional to 105,102.32, 144,794.76 and 73,213.52

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Solution

The fourth proportional to 105,102.32, 144,794.76 and 73,213.52 is: 100,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102.32 : 144,794.76 = 73,213.52 : x
  2. Step 2: Convert to fraction form
    105,102.32/144,794.76 = 73,213.52/x
  3. Step 3: Cross multiply
    105,102.32x = 144,794.76 × 73,213.52
  4. Step 4: Simplify right side
    105,102.32x = 10,600,934,057.16
  5. Step 5: Solve for x
    x = 10,600,934,057.16/105,102.32
  6. Step 6: Final answer
    x = 100,862.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.