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Finding the Fourth Proportional to 99,460.40, 148,971.90 and 81,964.40

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Solution

The fourth proportional to 99,460.40, 148,971.90 and 81,964.40 is: 122,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,460.40 : 148,971.90 = 81,964.40 : x
  2. Step 2: Convert to fraction form
    99,460.40/148,971.90 = 81,964.40/x
  3. Step 3: Cross multiply
    99,460.40x = 148,971.90 × 81,964.40
  4. Step 4: Simplify right side
    99,460.40x = 12,210,392,400.36
  5. Step 5: Solve for x
    x = 12,210,392,400.36/99,460.40
  6. Step 6: Final answer
    x = 122,766.37

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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.