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Finding the Fourth Proportional to 169,118.96, 233,385.88 and 102,038

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Solution

The fourth proportional to 169,118.96, 233,385.88 and 102,038 is: 140,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,118.96 : 233,385.88 = 102,038 : x
  2. Step 2: Convert to fraction form
    169,118.96/233,385.88 = 102,038/x
  3. Step 3: Cross multiply
    169,118.96x = 233,385.88 × 102,038
  4. Step 4: Simplify right side
    169,118.96x = 23,814,228,423.44
  5. Step 5: Solve for x
    x = 23,814,228,423.44/169,118.96
  6. Step 6: Final answer
    x = 140,813.47

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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.