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Finding the Fourth Proportional to 199,590.48, 299,298.24 and 74,844

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Solution

The fourth proportional to 199,590.48, 299,298.24 and 74,844 is: 112,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,590.48 : 299,298.24 = 74,844 : x
  2. Step 2: Convert to fraction form
    199,590.48/299,298.24 = 74,844/x
  3. Step 3: Cross multiply
    199,590.48x = 299,298.24 × 74,844
  4. Step 4: Simplify right side
    199,590.48x = 22,400,677,474.56
  5. Step 5: Solve for x
    x = 22,400,677,474.56/199,590.48
  6. Step 6: Final answer
    x = 112,233.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.