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Finding the Fourth Proportional to 101,204.65, 151,780.51 and 30,108.16

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Solution

The fourth proportional to 101,204.65, 151,780.51 and 30,108.16 is: 45,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,204.65 : 151,780.51 = 30,108.16 : x
  2. Step 2: Convert to fraction form
    101,204.65/151,780.51 = 30,108.16/x
  3. Step 3: Cross multiply
    101,204.65x = 151,780.51 × 30,108.16
  4. Step 4: Simplify right side
    101,204.65x = 4,569,831,879.96
  5. Step 5: Solve for x
    x = 4,569,831,879.96/101,204.65
  6. Step 6: Final answer
    x = 45,154.37

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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.