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Finding the Fourth Proportional to 295,891, 443,614.92 and 96,092.08

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Solution

The fourth proportional to 295,891, 443,614.92 and 96,092.08 is: 144,066.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,891 : 443,614.92 = 96,092.08 : x
  2. Step 2: Convert to fraction form
    295,891/443,614.92 = 96,092.08/x
  3. Step 3: Cross multiply
    295,891x = 443,614.92 × 96,092.08
  4. Step 4: Simplify right side
    295,891x = 42,627,880,381.83
  5. Step 5: Solve for x
    x = 42,627,880,381.83/295,891
  6. Step 6: Final answer
    x = 144,066.16

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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.