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Finding the Fourth Proportional to 252,842.63, 348,933.43 and 145,412.74

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Solution

The fourth proportional to 252,842.63, 348,933.43 and 145,412.74 is: 200,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,842.63 : 348,933.43 = 145,412.74 : x
  2. Step 2: Convert to fraction form
    252,842.63/348,933.43 = 145,412.74/x
  3. Step 3: Cross multiply
    252,842.63x = 348,933.43 × 145,412.74
  4. Step 4: Simplify right side
    252,842.63x = 50,739,366,133.90
  5. Step 5: Solve for x
    x = 50,739,366,133.90/252,842.63
  6. Step 6: Final answer
    x = 200,675.68

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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.