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Finding the Fourth Proportional to 242,501.82, 363,752.79 and 74,023.10

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Solution

The fourth proportional to 242,501.82, 363,752.79 and 74,023.10 is: 111,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,501.82 : 363,752.79 = 74,023.10 : x
  2. Step 2: Convert to fraction form
    242,501.82/363,752.79 = 74,023.10/x
  3. Step 3: Cross multiply
    242,501.82x = 363,752.79 × 74,023.10
  4. Step 4: Simplify right side
    242,501.82x = 26,926,109,149.45
  5. Step 5: Solve for x
    x = 26,926,109,149.45/242,501.82
  6. Step 6: Final answer
    x = 111,034.67

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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.