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Finding the Fourth Proportional to 283,854, 425,781 and 159,204.72

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Solution

The fourth proportional to 283,854, 425,781 and 159,204.72 is: 238,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,854 : 425,781 = 159,204.72 : x
  2. Step 2: Convert to fraction form
    283,854/425,781 = 159,204.72/x
  3. Step 3: Cross multiply
    283,854x = 425,781 × 159,204.72
  4. Step 4: Simplify right side
    283,854x = 67,786,344,886.32
  5. Step 5: Solve for x
    x = 67,786,344,886.32/283,854
  6. Step 6: Final answer
    x = 238,807.08

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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.