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Finding the Fourth Proportional to 159,924, 220,714.56 and 92,856

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Solution

The fourth proportional to 159,924, 220,714.56 and 92,856 is: 128,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,924 : 220,714.56 = 92,856 : x
  2. Step 2: Convert to fraction form
    159,924/220,714.56 = 92,856/x
  3. Step 3: Cross multiply
    159,924x = 220,714.56 × 92,856
  4. Step 4: Simplify right side
    159,924x = 20,494,671,183.36
  5. Step 5: Solve for x
    x = 20,494,671,183.36/159,924
  6. Step 6: Final answer
    x = 128,152.57

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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.