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Finding the Fourth Proportional to 283,178.62, 424,754.07 and 105,671.79

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Solution

The fourth proportional to 283,178.62, 424,754.07 and 105,671.79 is: 158,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,178.62 : 424,754.07 = 105,671.79 : x
  2. Step 2: Convert to fraction form
    283,178.62/424,754.07 = 105,671.79/x
  3. Step 3: Cross multiply
    283,178.62x = 424,754.07 × 105,671.79
  4. Step 4: Simplify right side
    283,178.62x = 44,884,522,886.69
  5. Step 5: Solve for x
    x = 44,884,522,886.69/283,178.62
  6. Step 6: Final answer
    x = 158,502.51

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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.