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Finding the Fourth Proportional to 235,086.40, 352,046.40 and 188,430.40

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Solution

The fourth proportional to 235,086.40, 352,046.40 and 188,430.40 is: 282,178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,086.40 : 352,046.40 = 188,430.40 : x
  2. Step 2: Convert to fraction form
    235,086.40/352,046.40 = 188,430.40/x
  3. Step 3: Cross multiply
    235,086.40x = 352,046.40 × 188,430.40
  4. Step 4: Simplify right side
    235,086.40x = 66,336,243,970.56
  5. Step 5: Solve for x
    x = 66,336,243,970.56/235,086.40
  6. Step 6: Final answer
    x = 282,178.14

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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.