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Finding the Fourth Proportional to 230,486.52, 317,860.02 and 157,994.76

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Solution

The fourth proportional to 230,486.52, 317,860.02 and 157,994.76 is: 217,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,486.52 : 317,860.02 = 157,994.76 : x
  2. Step 2: Convert to fraction form
    230,486.52/317,860.02 = 157,994.76/x
  3. Step 3: Cross multiply
    230,486.52x = 317,860.02 × 157,994.76
  4. Step 4: Simplify right side
    230,486.52x = 50,220,217,573.50
  5. Step 5: Solve for x
    x = 50,220,217,573.50/230,486.52
  6. Step 6: Final answer
    x = 217,887.87

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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.