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Finding the Fourth Proportional to 281,882.95, 422,623.55 and 132,041.50

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Solution

The fourth proportional to 281,882.95, 422,623.55 and 132,041.50 is: 197,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,882.95 : 422,623.55 = 132,041.50 : x
  2. Step 2: Convert to fraction form
    281,882.95/422,623.55 = 132,041.50/x
  3. Step 3: Cross multiply
    281,882.95x = 422,623.55 × 132,041.50
  4. Step 4: Simplify right side
    281,882.95x = 55,803,847,477.33
  5. Step 5: Solve for x
    x = 55,803,847,477.33/281,882.95
  6. Step 6: Final answer
    x = 197,968.15

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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.