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Finding the Fourth Proportional to 98,372.63, 147,253.49 and 53,282.00

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Solution

The fourth proportional to 98,372.63, 147,253.49 and 53,282.00 is: 79,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,372.63 : 147,253.49 = 53,282.00 : x
  2. Step 2: Convert to fraction form
    98,372.63/147,253.49 = 53,282.00/x
  3. Step 3: Cross multiply
    98,372.63x = 147,253.49 × 53,282.00
  4. Step 4: Simplify right side
    98,372.63x = 7,845,959,851.12
  5. Step 5: Solve for x
    x = 7,845,959,851.12/98,372.63
  6. Step 6: Final answer
    x = 79,757.55

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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.