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Finding the Fourth Proportional to 226,847.81, 340,302.84 and 77,047.88

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Solution

The fourth proportional to 226,847.81, 340,302.84 and 77,047.88 is: 115,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,847.81 : 340,302.84 = 77,047.88 : x
  2. Step 2: Convert to fraction form
    226,847.81/340,302.84 = 77,047.88/x
  3. Step 3: Cross multiply
    226,847.81x = 340,302.84 × 77,047.88
  4. Step 4: Simplify right side
    226,847.81x = 26,219,610,678.47
  5. Step 5: Solve for x
    x = 26,219,610,678.47/226,847.81
  6. Step 6: Final answer
    x = 115,582.39

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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.