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Finding the Fourth Proportional to 261,855.96, 361,371.66 and 148,689.24

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Solution

The fourth proportional to 261,855.96, 361,371.66 and 148,689.24 is: 205,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,855.96 : 361,371.66 = 148,689.24 : x
  2. Step 2: Convert to fraction form
    261,855.96/361,371.66 = 148,689.24/x
  3. Step 3: Cross multiply
    261,855.96x = 361,371.66 × 148,689.24
  4. Step 4: Simplify right side
    261,855.96x = 53,732,077,482.94
  5. Step 5: Solve for x
    x = 53,732,077,482.94/261,855.96
  6. Step 6: Final answer
    x = 205,197.08

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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.