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Finding the Fourth Proportional to 159,730.86, 239,392.74 and 84,886.86

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Solution

The fourth proportional to 159,730.86, 239,392.74 and 84,886.86 is: 127,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,730.86 : 239,392.74 = 84,886.86 : x
  2. Step 2: Convert to fraction form
    159,730.86/239,392.74 = 84,886.86/x
  3. Step 3: Cross multiply
    159,730.86x = 239,392.74 × 84,886.86
  4. Step 4: Simplify right side
    159,730.86x = 20,321,298,005.40
  5. Step 5: Solve for x
    x = 20,321,298,005.40/159,730.86
  6. Step 6: Final answer
    x = 127,222.12

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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.