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Finding the Fourth Proportional to 261,951.80, 392,647.94 and 149,389.64

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Solution

The fourth proportional to 261,951.80, 392,647.94 and 149,389.64 is: 223,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,951.80 : 392,647.94 = 149,389.64 : x
  2. Step 2: Convert to fraction form
    261,951.80/392,647.94 = 149,389.64/x
  3. Step 3: Cross multiply
    261,951.80x = 392,647.94 × 149,389.64
  4. Step 4: Simplify right side
    261,951.80x = 58,657,535,460.35
  5. Step 5: Solve for x
    x = 58,657,535,460.35/261,951.80
  6. Step 6: Final answer
    x = 223,924.92

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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.