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Finding the Fourth Proportional to 145,344.74, 200,673.60 and 129,983.57

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Solution

The fourth proportional to 145,344.74, 200,673.60 and 129,983.57 is: 179,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,344.74 : 200,673.60 = 129,983.57 : x
  2. Step 2: Convert to fraction form
    145,344.74/200,673.60 = 129,983.57/x
  3. Step 3: Cross multiply
    145,344.74x = 200,673.60 × 129,983.57
  4. Step 4: Simplify right side
    145,344.74x = 26,084,269,929.38
  5. Step 5: Solve for x
    x = 26,084,269,929.38/145,344.74
  6. Step 6: Final answer
    x = 179,464.83

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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.