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Finding the Fourth Proportional to 261,608, 361,147 and 175,536.16

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Solution

The fourth proportional to 261,608, 361,147 and 175,536.16 is: 242,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,608 : 361,147 = 175,536.16 : x
  2. Step 2: Convert to fraction form
    261,608/361,147 = 175,536.16/x
  3. Step 3: Cross multiply
    261,608x = 361,147 × 175,536.16
  4. Step 4: Simplify right side
    261,608x = 63,394,357,575.52
  5. Step 5: Solve for x
    x = 63,394,357,575.52/261,608
  6. Step 6: Final answer
    x = 242,325.76

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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.