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Finding the Fourth Proportional to 175,144.50, 241,699.68 and 99,693

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Solution

The fourth proportional to 175,144.50, 241,699.68 and 99,693 is: 137,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,144.50 : 241,699.68 = 99,693 : x
  2. Step 2: Convert to fraction form
    175,144.50/241,699.68 = 99,693/x
  3. Step 3: Cross multiply
    175,144.50x = 241,699.68 × 99,693
  4. Step 4: Simplify right side
    175,144.50x = 24,095,766,198.24
  5. Step 5: Solve for x
    x = 24,095,766,198.24/175,144.50
  6. Step 6: Final answer
    x = 137,576.49

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1.5x scale

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.