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Finding the Fourth Proportional to 261,451.44, 392,199.12 and 103,681.44

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Solution

The fourth proportional to 261,451.44, 392,199.12 and 103,681.44 is: 155,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,451.44 : 392,199.12 = 103,681.44 : x
  2. Step 2: Convert to fraction form
    261,451.44/392,199.12 = 103,681.44/x
  3. Step 3: Cross multiply
    261,451.44x = 392,199.12 × 103,681.44
  4. Step 4: Simplify right side
    261,451.44x = 40,663,769,528.33
  5. Step 5: Solve for x
    x = 40,663,769,528.33/261,451.44
  6. Step 6: Final answer
    x = 155,530.87

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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.