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Finding the Fourth Proportional to 235,102.50, 352,308.06 and 138,940.74

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Solution

The fourth proportional to 235,102.50, 352,308.06 and 138,940.74 is: 208,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102.50 : 352,308.06 = 138,940.74 : x
  2. Step 2: Convert to fraction form
    235,102.50/352,308.06 = 138,940.74/x
  3. Step 3: Cross multiply
    235,102.50x = 352,308.06 × 138,940.74
  4. Step 4: Simplify right side
    235,102.50x = 48,949,942,564.36
  5. Step 5: Solve for x
    x = 48,949,942,564.36/235,102.50
  6. Step 6: Final answer
    x = 208,206.81

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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.