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Finding the Fourth Proportional to 252,757.38, 348,804.72 and 145,348.14

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Solution

The fourth proportional to 252,757.38, 348,804.72 and 145,348.14 is: 200,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,757.38 : 348,804.72 = 145,348.14 : x
  2. Step 2: Convert to fraction form
    252,757.38/348,804.72 = 145,348.14/x
  3. Step 3: Cross multiply
    252,757.38x = 348,804.72 × 145,348.14
  4. Step 4: Simplify right side
    252,757.38x = 50,698,117,275.22
  5. Step 5: Solve for x
    x = 50,698,117,275.22/252,757.38
  6. Step 6: Final answer
    x = 200,580.17

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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.