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Finding the Fourth Proportional to 99,523.64, 137,339.82 and 54,200.60

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Solution

The fourth proportional to 99,523.64, 137,339.82 and 54,200.60 is: 74,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,523.64 : 137,339.82 = 54,200.60 : x
  2. Step 2: Convert to fraction form
    99,523.64/137,339.82 = 54,200.60/x
  3. Step 3: Cross multiply
    99,523.64x = 137,339.82 × 54,200.60
  4. Step 4: Simplify right side
    99,523.64x = 7,443,900,647.89
  5. Step 5: Solve for x
    x = 7,443,900,647.89/99,523.64
  6. Step 6: Final answer
    x = 74,795.30

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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.