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Finding the Fourth Proportional to 226,887.96, 340,368.84 and 77,141.64

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Solution

The fourth proportional to 226,887.96, 340,368.84 and 77,141.64 is: 115,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,887.96 : 340,368.84 = 77,141.64 : x
  2. Step 2: Convert to fraction form
    226,887.96/340,368.84 = 77,141.64/x
  3. Step 3: Cross multiply
    226,887.96x = 340,368.84 × 77,141.64
  4. Step 4: Simplify right side
    226,887.96x = 26,256,610,522.50
  5. Step 5: Solve for x
    x = 26,256,610,522.50/226,887.96
  6. Step 6: Final answer
    x = 115,725.01

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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.