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Finding the Fourth Proportional to 295,920, 443,938.32 and 96,227.52

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Solution

The fourth proportional to 295,920, 443,938.32 and 96,227.52 is: 144,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,920 : 443,938.32 = 96,227.52 : x
  2. Step 2: Convert to fraction form
    295,920/443,938.32 = 96,227.52/x
  3. Step 3: Cross multiply
    295,920x = 443,938.32 × 96,227.52
  4. Step 4: Simplify right side
    295,920x = 42,719,083,566.57
  5. Step 5: Solve for x
    x = 42,719,083,566.57/295,920
  6. Step 6: Final answer
    x = 144,360.24

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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.