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Finding the Fourth Proportional to 101,952.94, 140,695.98 and 59,503.24

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Solution

The fourth proportional to 101,952.94, 140,695.98 and 59,503.24 is: 82,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952.94 : 140,695.98 = 59,503.24 : x
  2. Step 2: Convert to fraction form
    101,952.94/140,695.98 = 59,503.24/x
  3. Step 3: Cross multiply
    101,952.94x = 140,695.98 × 59,503.24
  4. Step 4: Simplify right side
    101,952.94x = 8,371,866,664.98
  5. Step 5: Solve for x
    x = 8,371,866,664.98/101,952.94
  6. Step 6: Final answer
    x = 82,115.01

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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.