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Finding the Fourth Proportional to 232,695.86, 348,720.85 and 106,026.54

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Solution

The fourth proportional to 232,695.86, 348,720.85 and 106,026.54 is: 158,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,695.86 : 348,720.85 = 106,026.54 : x
  2. Step 2: Convert to fraction form
    232,695.86/348,720.85 = 106,026.54/x
  3. Step 3: Cross multiply
    232,695.86x = 348,720.85 × 106,026.54
  4. Step 4: Simplify right side
    232,695.86x = 36,973,663,976.19
  5. Step 5: Solve for x
    x = 36,973,663,976.19/232,695.86
  6. Step 6: Final answer
    x = 158,892.66

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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.