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Finding the Fourth Proportional to 135,387.96, 203,076.90 and 35,547.24

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Solution

The fourth proportional to 135,387.96, 203,076.90 and 35,547.24 is: 53,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,387.96 : 203,076.90 = 35,547.24 : x
  2. Step 2: Convert to fraction form
    135,387.96/203,076.90 = 35,547.24/x
  3. Step 3: Cross multiply
    135,387.96x = 203,076.90 × 35,547.24
  4. Step 4: Simplify right side
    135,387.96x = 7,218,823,302.76
  5. Step 5: Solve for x
    x = 7,218,823,302.76/135,387.96
  6. Step 6: Final answer
    x = 53,319.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.