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Finding the Fourth Proportional to 261,907.56, 361,434.96 and 148,731.12

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Solution

The fourth proportional to 261,907.56, 361,434.96 and 148,731.12 is: 205,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,907.56 : 361,434.96 = 148,731.12 : x
  2. Step 2: Convert to fraction form
    261,907.56/361,434.96 = 148,731.12/x
  3. Step 3: Cross multiply
    261,907.56x = 361,434.96 × 148,731.12
  4. Step 4: Simplify right side
    261,907.56x = 53,756,626,407.96
  5. Step 5: Solve for x
    x = 53,756,626,407.96/261,907.56
  6. Step 6: Final answer
    x = 205,250.38

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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.