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Finding the Fourth Proportional to 252,334.78, 348,210.26 and 144,829.14

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Solution

The fourth proportional to 252,334.78, 348,210.26 and 144,829.14 is: 199,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,334.78 : 348,210.26 = 144,829.14 : x
  2. Step 2: Convert to fraction form
    252,334.78/348,210.26 = 144,829.14/x
  3. Step 3: Cross multiply
    252,334.78x = 348,210.26 × 144,829.14
  4. Step 4: Simplify right side
    252,334.78x = 50,430,992,494.98
  5. Step 5: Solve for x
    x = 50,430,992,494.98/252,334.78
  6. Step 6: Final answer
    x = 199,857.48

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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.