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Finding the Fourth Proportional to 295,925.50, 408,378.63 and 161,789.50

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Solution

The fourth proportional to 295,925.50, 408,378.63 and 161,789.50 is: 223,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,925.50 : 408,378.63 = 161,789.50 : x
  2. Step 2: Convert to fraction form
    295,925.50/408,378.63 = 161,789.50/x
  3. Step 3: Cross multiply
    295,925.50x = 408,378.63 × 161,789.50
  4. Step 4: Simplify right side
    295,925.50x = 66,071,374,358.39
  5. Step 5: Solve for x
    x = 66,071,374,358.39/295,925.50
  6. Step 6: Final answer
    x = 223,270.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.