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Finding the Fourth Proportional to 199,600.98, 299,313.96 and 74,854.50

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Solution

The fourth proportional to 199,600.98, 299,313.96 and 74,854.50 is: 112,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,600.98 : 299,313.96 = 74,854.50 : x
  2. Step 2: Convert to fraction form
    199,600.98/299,313.96 = 74,854.50/x
  3. Step 3: Cross multiply
    199,600.98x = 299,313.96 × 74,854.50
  4. Step 4: Simplify right side
    199,600.98x = 22,404,996,818.82
  5. Step 5: Solve for x
    x = 22,404,996,818.82/199,600.98
  6. Step 6: Final answer
    x = 112,248.93

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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.