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Finding the Fourth Proportional to 169,205.64, 253,220.94 and 105,137.48

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Solution

The fourth proportional to 169,205.64, 253,220.94 and 105,137.48 is: 157,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,205.64 : 253,220.94 = 105,137.48 : x
  2. Step 2: Convert to fraction form
    169,205.64/253,220.94 = 105,137.48/x
  3. Step 3: Cross multiply
    169,205.64x = 253,220.94 × 105,137.48
  4. Step 4: Simplify right side
    169,205.64x = 26,623,010,248.73
  5. Step 5: Solve for x
    x = 26,623,010,248.73/169,205.64
  6. Step 6: Final answer
    x = 157,341.15

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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.