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Finding the Fourth Proportional to 156,767.80, 235,083.66 and 56,894.80

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Solution

The fourth proportional to 156,767.80, 235,083.66 and 56,894.80 is: 85,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,767.80 : 235,083.66 = 56,894.80 : x
  2. Step 2: Convert to fraction form
    156,767.80/235,083.66 = 56,894.80/x
  3. Step 3: Cross multiply
    156,767.80x = 235,083.66 × 56,894.80
  4. Step 4: Simplify right side
    156,767.80x = 13,375,037,818.97
  5. Step 5: Solve for x
    x = 13,375,037,818.97/156,767.80
  6. Step 6: Final answer
    x = 85,317.51

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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.