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Finding the Fourth Proportional to 242,488.16, 363,786.51 and 74,023.46

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Solution

The fourth proportional to 242,488.16, 363,786.51 and 74,023.46 is: 111,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,488.16 : 363,786.51 = 74,023.46 : x
  2. Step 2: Convert to fraction form
    242,488.16/363,786.51 = 74,023.46/x
  3. Step 3: Cross multiply
    242,488.16x = 363,786.51 × 74,023.46
  4. Step 4: Simplify right side
    242,488.16x = 26,928,736,171.52
  5. Step 5: Solve for x
    x = 26,928,736,171.52/242,488.16
  6. Step 6: Final answer
    x = 111,051.76

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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.