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Finding the Fourth Proportional to 295,688.80, 408,041.84 and 161,552.80

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Solution

The fourth proportional to 295,688.80, 408,041.84 and 161,552.80 is: 222,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.80 : 408,041.84 = 161,552.80 : x
  2. Step 2: Convert to fraction form
    295,688.80/408,041.84 = 161,552.80/x
  3. Step 3: Cross multiply
    295,688.80x = 408,041.84 × 161,552.80
  4. Step 4: Simplify right side
    295,688.80x = 65,920,301,769.15
  5. Step 5: Solve for x
    x = 65,920,301,769.15/295,688.80
  6. Step 6: Final answer
    x = 222,938.11

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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.