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Finding the Fourth Proportional to 261,652.96, 361,122.24 and 159,700.48

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Solution

The fourth proportional to 261,652.96, 361,122.24 and 159,700.48 is: 220,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,652.96 : 361,122.24 = 159,700.48 : x
  2. Step 2: Convert to fraction form
    261,652.96/361,122.24 = 159,700.48/x
  3. Step 3: Cross multiply
    261,652.96x = 361,122.24 × 159,700.48
  4. Step 4: Simplify right side
    261,652.96x = 57,671,395,066.68
  5. Step 5: Solve for x
    x = 57,671,395,066.68/261,652.96
  6. Step 6: Final answer
    x = 220,411.78

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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.