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Finding the Fourth Proportional to 96,069.88, 143,809.54 and 81,898.12

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Solution

The fourth proportional to 96,069.88, 143,809.54 and 81,898.12 is: 122,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,069.88 : 143,809.54 = 81,898.12 : x
  2. Step 2: Convert to fraction form
    96,069.88/143,809.54 = 81,898.12/x
  3. Step 3: Cross multiply
    96,069.88x = 143,809.54 × 81,898.12
  4. Step 4: Simplify right side
    96,069.88x = 11,777,730,964.06
  5. Step 5: Solve for x
    x = 11,777,730,964.06/96,069.88
  6. Step 6: Final answer
    x = 122,595.46

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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.