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Finding the Fourth Proportional to 261,804.96, 361,301.04 and 148,638.24

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Solution

The fourth proportional to 261,804.96, 361,301.04 and 148,638.24 is: 205,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,804.96 : 361,301.04 = 148,638.24 : x
  2. Step 2: Convert to fraction form
    261,804.96/361,301.04 = 148,638.24/x
  3. Step 3: Cross multiply
    261,804.96x = 361,301.04 × 148,638.24
  4. Step 4: Simplify right side
    261,804.96x = 53,703,150,695.77
  5. Step 5: Solve for x
    x = 53,703,150,695.77/261,804.96
  6. Step 6: Final answer
    x = 205,126.56

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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.