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Finding the Fourth Proportional to 233,240.35, 321,970.99 and 156,803.78

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Solution

The fourth proportional to 233,240.35, 321,970.99 and 156,803.78 is: 216,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,240.35 : 321,970.99 = 156,803.78 : x
  2. Step 2: Convert to fraction form
    233,240.35/321,970.99 = 156,803.78/x
  3. Step 3: Cross multiply
    233,240.35x = 321,970.99 × 156,803.78
  4. Step 4: Simplify right side
    233,240.35x = 50,486,266,672.49
  5. Step 5: Solve for x
    x = 50,486,266,672.49/233,240.35
  6. Step 6: Final answer
    x = 216,455.97

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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.