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Finding the Fourth Proportional to 230,026.20, 345,039.30 and 177,538.20

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Solution

The fourth proportional to 230,026.20, 345,039.30 and 177,538.20 is: 266,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,026.20 : 345,039.30 = 177,538.20 : x
  2. Step 2: Convert to fraction form
    230,026.20/345,039.30 = 177,538.20/x
  3. Step 3: Cross multiply
    230,026.20x = 345,039.30 × 177,538.20
  4. Step 4: Simplify right side
    230,026.20x = 61,257,656,251.26
  5. Step 5: Solve for x
    x = 61,257,656,251.26/230,026.20
  6. Step 6: Final answer
    x = 266,307.30

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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.