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Finding the Fourth Proportional to 123,783.11, 185,744.88 and 66,856.31

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Solution

The fourth proportional to 123,783.11, 185,744.88 and 66,856.31 is: 100,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,783.11 : 185,744.88 = 66,856.31 : x
  2. Step 2: Convert to fraction form
    123,783.11/185,744.88 = 66,856.31/x
  3. Step 3: Cross multiply
    123,783.11x = 185,744.88 × 66,856.31
  4. Step 4: Simplify right side
    123,783.11x = 12,418,216,349.47
  5. Step 5: Solve for x
    x = 12,418,216,349.47/123,783.11
  6. Step 6: Final answer
    x = 100,322.39

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1.5x scale

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.