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Finding the Fourth Proportional to 235,027.48, 352,466.46 and 77,219.32

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Solution

The fourth proportional to 235,027.48, 352,466.46 and 77,219.32 is: 115,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,027.48 : 352,466.46 = 77,219.32 : x
  2. Step 2: Convert to fraction form
    235,027.48/352,466.46 = 77,219.32/x
  3. Step 3: Cross multiply
    235,027.48x = 352,466.46 × 77,219.32
  4. Step 4: Simplify right side
    235,027.48x = 27,217,220,364.01
  5. Step 5: Solve for x
    x = 27,217,220,364.01/235,027.48
  6. Step 6: Final answer
    x = 115,804.42

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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.