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Finding the Fourth Proportional to 105,959.72, 158,937.77 and 56,029.16

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Solution

The fourth proportional to 105,959.72, 158,937.77 and 56,029.16 is: 84,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,959.72 : 158,937.77 = 56,029.16 : x
  2. Step 2: Convert to fraction form
    105,959.72/158,937.77 = 56,029.16/x
  3. Step 3: Cross multiply
    105,959.72x = 158,937.77 × 56,029.16
  4. Step 4: Simplify right side
    105,959.72x = 8,905,149,090.76
  5. Step 5: Solve for x
    x = 8,905,149,090.76/105,959.72
  6. Step 6: Final answer
    x = 84,042.78

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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.