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Finding the Fourth Proportional to 226,866.16, 340,314.90 and 77,045.32

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Solution

The fourth proportional to 226,866.16, 340,314.90 and 77,045.32 is: 115,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,866.16 : 340,314.90 = 77,045.32 : x
  2. Step 2: Convert to fraction form
    226,866.16/340,314.90 = 77,045.32/x
  3. Step 3: Cross multiply
    226,866.16x = 340,314.90 × 77,045.32
  4. Step 4: Simplify right side
    226,866.16x = 26,219,670,371.27
  5. Step 5: Solve for x
    x = 26,219,670,371.27/226,866.16
  6. Step 6: Final answer
    x = 115,573.30

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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.