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Finding the Fourth Proportional to 235,667.85, 353,557.14 and 77,896.31

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Solution

The fourth proportional to 235,667.85, 353,557.14 and 77,896.31 is: 116,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,667.85 : 353,557.14 = 77,896.31 : x
  2. Step 2: Convert to fraction form
    235,667.85/353,557.14 = 77,896.31/x
  3. Step 3: Cross multiply
    235,667.85x = 353,557.14 × 77,896.31
  4. Step 4: Simplify right side
    235,667.85x = 27,540,796,580.15
  5. Step 5: Solve for x
    x = 27,540,796,580.15/235,667.85
  6. Step 6: Final answer
    x = 116,862.77

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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.