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Finding the Fourth Proportional to 234,360, 323,434.08 and 144,953.28

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Solution

The fourth proportional to 234,360, 323,434.08 and 144,953.28 is: 200,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,360 : 323,434.08 = 144,953.28 : x
  2. Step 2: Convert to fraction form
    234,360/323,434.08 = 144,953.28/x
  3. Step 3: Cross multiply
    234,360x = 323,434.08 × 144,953.28
  4. Step 4: Simplify right side
    234,360x = 46,882,830,759.78
  5. Step 5: Solve for x
    x = 46,882,830,759.78/234,360
  6. Step 6: Final answer
    x = 200,046.21

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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.