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Finding the Fourth Proportional to 235,095.40, 352,059.90 and 188,439.40

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Solution

The fourth proportional to 235,095.40, 352,059.90 and 188,439.40 is: 282,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,095.40 : 352,059.90 = 188,439.40 : x
  2. Step 2: Convert to fraction form
    235,095.40/352,059.90 = 188,439.40/x
  3. Step 3: Cross multiply
    235,095.40x = 352,059.90 × 188,439.40
  4. Step 4: Simplify right side
    235,095.40x = 66,341,956,320.06
  5. Step 5: Solve for x
    x = 66,341,956,320.06/235,095.40
  6. Step 6: Final answer
    x = 282,191.64

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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.