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Finding the Fourth Proportional to 265,542.96, 366,445.92 and 144,689.28

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Solution

The fourth proportional to 265,542.96, 366,445.92 and 144,689.28 is: 199,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,542.96 : 366,445.92 = 144,689.28 : x
  2. Step 2: Convert to fraction form
    265,542.96/366,445.92 = 144,689.28/x
  3. Step 3: Cross multiply
    265,542.96x = 366,445.92 × 144,689.28
  4. Step 4: Simplify right side
    265,542.96x = 53,020,796,323.74
  5. Step 5: Solve for x
    x = 53,020,796,323.74/265,542.96
  6. Step 6: Final answer
    x = 199,669.37

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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.