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Finding the Fourth Proportional to 100,967.80, 151,451.70 and 81,284.80

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Solution

The fourth proportional to 100,967.80, 151,451.70 and 81,284.80 is: 121,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,967.80 : 151,451.70 = 81,284.80 : x
  2. Step 2: Convert to fraction form
    100,967.80/151,451.70 = 81,284.80/x
  3. Step 3: Cross multiply
    100,967.80x = 151,451.70 × 81,284.80
  4. Step 4: Simplify right side
    100,967.80x = 12,310,721,144.16
  5. Step 5: Solve for x
    x = 12,310,721,144.16/100,967.80
  6. Step 6: Final answer
    x = 121,927.20

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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.