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Finding the Fourth Proportional to 235,214.40, 352,238.40 and 188,558.40

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Solution

The fourth proportional to 235,214.40, 352,238.40 and 188,558.40 is: 282,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,214.40 : 352,238.40 = 188,558.40 : x
  2. Step 2: Convert to fraction form
    235,214.40/352,238.40 = 188,558.40/x
  3. Step 3: Cross multiply
    235,214.40x = 352,238.40 × 188,558.40
  4. Step 4: Simplify right side
    235,214.40x = 66,417,509,122.56
  5. Step 5: Solve for x
    x = 66,417,509,122.56/235,214.40
  6. Step 6: Final answer
    x = 282,370.08

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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.