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Finding the Fourth Proportional to 232,695.61, 348,720.48 and 106,026.29

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Solution

The fourth proportional to 232,695.61, 348,720.48 and 106,026.29 is: 158,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,695.61 : 348,720.48 = 106,026.29 : x
  2. Step 2: Convert to fraction form
    232,695.61/348,720.48 = 106,026.29/x
  3. Step 3: Cross multiply
    232,695.61x = 348,720.48 × 106,026.29
  4. Step 4: Simplify right side
    232,695.61x = 36,973,536,467.69
  5. Step 5: Solve for x
    x = 36,973,536,467.69/232,695.61
  6. Step 6: Final answer
    x = 158,892.29

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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.