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Finding the Fourth Proportional to 295,901.50, 408,345.51 and 161,765.50

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Solution

The fourth proportional to 295,901.50, 408,345.51 and 161,765.50 is: 223,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,901.50 : 408,345.51 = 161,765.50 : x
  2. Step 2: Convert to fraction form
    295,901.50/408,345.51 = 161,765.50/x
  3. Step 3: Cross multiply
    295,901.50x = 408,345.51 × 161,765.50
  4. Step 4: Simplify right side
    295,901.50x = 66,056,215,597.91
  5. Step 5: Solve for x
    x = 66,056,215,597.91/295,901.50
  6. Step 6: Final answer
    x = 223,237.18

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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.