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Finding the Fourth Proportional to 101,622.90, 140,233.92 and 56,297.28

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Solution

The fourth proportional to 101,622.90, 140,233.92 and 56,297.28 is: 77,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,622.90 : 140,233.92 = 56,297.28 : x
  2. Step 2: Convert to fraction form
    101,622.90/140,233.92 = 56,297.28/x
  3. Step 3: Cross multiply
    101,622.90x = 140,233.92 × 56,297.28
  4. Step 4: Simplify right side
    101,622.90x = 7,894,788,259.74
  5. Step 5: Solve for x
    x = 7,894,788,259.74/101,622.90
  6. Step 6: Final answer
    x = 77,687.10

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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.