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Finding the Fourth Proportional to 199,545.93, 275,375.70 and 119,019.24

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Solution

The fourth proportional to 199,545.93, 275,375.70 and 119,019.24 is: 164,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,545.93 : 275,375.70 = 119,019.24 : x
  2. Step 2: Convert to fraction form
    199,545.93/275,375.70 = 119,019.24/x
  3. Step 3: Cross multiply
    199,545.93x = 275,375.70 × 119,019.24
  4. Step 4: Simplify right side
    199,545.93x = 32,775,006,528.47
  5. Step 5: Solve for x
    x = 32,775,006,528.47/199,545.93
  6. Step 6: Final answer
    x = 164,247.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.