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Finding the Fourth Proportional to 261,392.54, 392,482.46 and 149,199.44

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Solution

The fourth proportional to 261,392.54, 392,482.46 and 149,199.44 is: 224,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,392.54 : 392,482.46 = 149,199.44 : x
  2. Step 2: Convert to fraction form
    261,392.54/392,482.46 = 149,199.44/x
  3. Step 3: Cross multiply
    261,392.54x = 392,482.46 × 149,199.44
  4. Step 4: Simplify right side
    261,392.54x = 58,558,161,652.41
  5. Step 5: Solve for x
    x = 58,558,161,652.41/261,392.54
  6. Step 6: Final answer
    x = 224,023.85

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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.