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Finding the Fourth Proportional to 225,200.74, 310,774.38 and 123,225.03

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Solution

The fourth proportional to 225,200.74, 310,774.38 and 123,225.03 is: 170,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,200.74 : 310,774.38 = 123,225.03 : x
  2. Step 2: Convert to fraction form
    225,200.74/310,774.38 = 123,225.03/x
  3. Step 3: Cross multiply
    225,200.74x = 310,774.38 × 123,225.03
  4. Step 4: Simplify right side
    225,200.74x = 38,295,182,298.73
  5. Step 5: Solve for x
    x = 38,295,182,298.73/225,200.74
  6. Step 6: Final answer
    x = 170,049.10

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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.