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Finding the Fourth Proportional to 223,785.76, 335,678.62 and 76,041.76

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Solution

The fourth proportional to 223,785.76, 335,678.62 and 76,041.76 is: 114,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,785.76 : 335,678.62 = 76,041.76 : x
  2. Step 2: Convert to fraction form
    223,785.76/335,678.62 = 76,041.76/x
  3. Step 3: Cross multiply
    223,785.76x = 335,678.62 × 76,041.76
  4. Step 4: Simplify right side
    223,785.76x = 25,525,593,059.17
  5. Step 5: Solve for x
    x = 25,525,593,059.17/223,785.76
  6. Step 6: Final answer
    x = 114,062.63

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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.