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Finding the Fourth Proportional to 270,632.74, 406,000.14 and 83,600.50

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Solution

The fourth proportional to 270,632.74, 406,000.14 and 83,600.50 is: 125,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,632.74 : 406,000.14 = 83,600.50 : x
  2. Step 2: Convert to fraction form
    270,632.74/406,000.14 = 83,600.50/x
  3. Step 3: Cross multiply
    270,632.74x = 406,000.14 × 83,600.50
  4. Step 4: Simplify right side
    270,632.74x = 33,941,814,704.07
  5. Step 5: Solve for x
    x = 33,941,814,704.07/270,632.74
  6. Step 6: Final answer
    x = 125,416.51

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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.