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Finding the Fourth Proportional to 261,347.56, 360,639.30 and 148,188.52

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Solution

The fourth proportional to 261,347.56, 360,639.30 and 148,188.52 is: 204,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,347.56 : 360,639.30 = 148,188.52 : x
  2. Step 2: Convert to fraction form
    261,347.56/360,639.30 = 148,188.52/x
  3. Step 3: Cross multiply
    261,347.56x = 360,639.30 × 148,188.52
  4. Step 4: Simplify right side
    261,347.56x = 53,442,604,120.84
  5. Step 5: Solve for x
    x = 53,442,604,120.84/261,347.56
  6. Step 6: Final answer
    x = 204,488.63

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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.