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Finding the Fourth Proportional to 154,493.47, 231,772.74 and 53,300.71

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Solution

The fourth proportional to 154,493.47, 231,772.74 and 53,300.71 is: 79,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.47 : 231,772.74 = 53,300.71 : x
  2. Step 2: Convert to fraction form
    154,493.47/231,772.74 = 53,300.71/x
  3. Step 3: Cross multiply
    154,493.47x = 231,772.74 × 53,300.71
  4. Step 4: Simplify right side
    154,493.47x = 12,353,651,600.65
  5. Step 5: Solve for x
    x = 12,353,651,600.65/154,493.47
  6. Step 6: Final answer
    x = 79,962.29

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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.