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Finding the Fourth Proportional to 101,853.48, 140,559.30 and 56,534.38

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Solution

The fourth proportional to 101,853.48, 140,559.30 and 56,534.38 is: 78,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,853.48 : 140,559.30 = 56,534.38 : x
  2. Step 2: Convert to fraction form
    101,853.48/140,559.30 = 56,534.38/x
  3. Step 3: Cross multiply
    101,853.48x = 140,559.30 × 56,534.38
  4. Step 4: Simplify right side
    101,853.48x = 7,946,432,878.73
  5. Step 5: Solve for x
    x = 7,946,432,878.73/101,853.48
  6. Step 6: Final answer
    x = 78,018.28

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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.