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Finding the Fourth Proportional to 103,144.56, 154,746.12 and 50,569.20

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Solution

The fourth proportional to 103,144.56, 154,746.12 and 50,569.20 is: 75,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,144.56 : 154,746.12 = 50,569.20 : x
  2. Step 2: Convert to fraction form
    103,144.56/154,746.12 = 50,569.20/x
  3. Step 3: Cross multiply
    103,144.56x = 154,746.12 × 50,569.20
  4. Step 4: Simplify right side
    103,144.56x = 7,825,387,491.50
  5. Step 5: Solve for x
    x = 7,825,387,491.50/103,144.56
  6. Step 6: Final answer
    x = 75,868.16

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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.