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Finding the Fourth Proportional to 345,101.41, 517,776.67 and 120,494.93

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Solution

The fourth proportional to 345,101.41, 517,776.67 and 120,494.93 is: 180,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,101.41 : 517,776.67 = 120,494.93 : x
  2. Step 2: Convert to fraction form
    345,101.41/517,776.67 = 120,494.93/x
  3. Step 3: Cross multiply
    345,101.41x = 517,776.67 × 120,494.93
  4. Step 4: Simplify right side
    345,101.41x = 62,389,463,607.28
  5. Step 5: Solve for x
    x = 62,389,463,607.28/345,101.41
  6. Step 6: Final answer
    x = 180,785.88

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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.