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Finding the Fourth Proportional to 150,055.96, 224,834.02 and 105,589.28

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Solution

The fourth proportional to 150,055.96, 224,834.02 and 105,589.28 is: 158,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,055.96 : 224,834.02 = 105,589.28 : x
  2. Step 2: Convert to fraction form
    150,055.96/224,834.02 = 105,589.28/x
  3. Step 3: Cross multiply
    150,055.96x = 224,834.02 × 105,589.28
  4. Step 4: Simplify right side
    150,055.96x = 23,740,062,254.04
  5. Step 5: Solve for x
    x = 23,740,062,254.04/150,055.96
  6. Step 6: Final answer
    x = 158,208.06

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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.