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Finding the Fourth Proportional to 199,642.32, 299,462.76 and 59,400.96

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Solution

The fourth proportional to 199,642.32, 299,462.76 and 59,400.96 is: 89,101.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.32 : 299,462.76 = 59,400.96 : x
  2. Step 2: Convert to fraction form
    199,642.32/299,462.76 = 59,400.96/x
  3. Step 3: Cross multiply
    199,642.32x = 299,462.76 × 59,400.96
  4. Step 4: Simplify right side
    199,642.32x = 17,788,375,428.25
  5. Step 5: Solve for x
    x = 17,788,375,428.25/199,642.32
  6. Step 6: Final answer
    x = 89,101.23

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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.