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Finding the Fourth Proportional to 359,243.50, 538,956.78 and 106,533.22

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Solution

The fourth proportional to 359,243.50, 538,956.78 and 106,533.22 is: 159,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,243.50 : 538,956.78 = 106,533.22 : x
  2. Step 2: Convert to fraction form
    359,243.50/538,956.78 = 106,533.22/x
  3. Step 3: Cross multiply
    359,243.50x = 538,956.78 × 106,533.22
  4. Step 4: Simplify right side
    359,243.50x = 57,416,801,214.23
  5. Step 5: Solve for x
    x = 57,416,801,214.23/359,243.50
  6. Step 6: Final answer
    x = 159,826.97

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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.