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Finding the Fourth Proportional to 101,853.40, 140,574.54 and 59,411.89

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Solution

The fourth proportional to 101,853.40, 140,574.54 and 59,411.89 is: 81,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853.40 : 140,574.54 = 59,411.89 : x
  2. Step 2: Convert to fraction form
    101,853.40/140,574.54 = 59,411.89/x
  3. Step 3: Cross multiply
    101,853.40x = 140,574.54 × 59,411.89
  4. Step 4: Simplify right side
    101,853.40x = 8,351,799,107.28
  5. Step 5: Solve for x
    x = 8,351,799,107.28/101,853.40
  6. Step 6: Final answer
    x = 81,998.24

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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.