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Finding the Fourth Proportional to 280,931.22, 387,671.49 and 160,100.82

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Solution

The fourth proportional to 280,931.22, 387,671.49 and 160,100.82 is: 220,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,931.22 : 387,671.49 = 160,100.82 : x
  2. Step 2: Convert to fraction form
    280,931.22/387,671.49 = 160,100.82/x
  3. Step 3: Cross multiply
    280,931.22x = 387,671.49 × 160,100.82
  4. Step 4: Simplify right side
    280,931.22x = 62,066,523,439.62
  5. Step 5: Solve for x
    x = 62,066,523,439.62/280,931.22
  6. Step 6: Final answer
    x = 220,931.38

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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.