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Finding the Fourth Proportional to 234,704.92, 324,070.18 and 144,184.92

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Solution

The fourth proportional to 234,704.92, 324,070.18 and 144,184.92 is: 199,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,704.92 : 324,070.18 = 144,184.92 : x
  2. Step 2: Convert to fraction form
    234,704.92/324,070.18 = 144,184.92/x
  3. Step 3: Cross multiply
    234,704.92x = 324,070.18 × 144,184.92
  4. Step 4: Simplify right side
    234,704.92x = 46,726,032,977.69
  5. Step 5: Solve for x
    x = 46,726,032,977.69/234,704.92
  6. Step 6: Final answer
    x = 199,084.16

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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.