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Finding the Fourth Proportional to 261,558.76, 360,941.70 and 148,403.56

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Solution

The fourth proportional to 261,558.76, 360,941.70 and 148,403.56 is: 204,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,558.76 : 360,941.70 = 148,403.56 : x
  2. Step 2: Convert to fraction form
    261,558.76/360,941.70 = 148,403.56/x
  3. Step 3: Cross multiply
    261,558.76x = 360,941.70 × 148,403.56
  4. Step 4: Simplify right side
    261,558.76x = 53,565,033,232.45
  5. Step 5: Solve for x
    x = 53,565,033,232.45/261,558.76
  6. Step 6: Final answer
    x = 204,791.59

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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.