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Finding the Fourth Proportional to 234,642.82, 323,782.84 and 144,002.60

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Solution

The fourth proportional to 234,642.82, 323,782.84 and 144,002.60 is: 198,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,642.82 : 323,782.84 = 144,002.60 : x
  2. Step 2: Convert to fraction form
    234,642.82/323,782.84 = 144,002.60/x
  3. Step 3: Cross multiply
    234,642.82x = 323,782.84 × 144,002.60
  4. Step 4: Simplify right side
    234,642.82x = 46,625,570,795.38
  5. Step 5: Solve for x
    x = 46,625,570,795.38/234,642.82
  6. Step 6: Final answer
    x = 198,708.70

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1.5x scale

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.