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Finding the Fourth Proportional to 295,852.50, 408,276.45 and 161,716.50

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Solution

The fourth proportional to 295,852.50, 408,276.45 and 161,716.50 is: 223,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,852.50 : 408,276.45 = 161,716.50 : x
  2. Step 2: Convert to fraction form
    295,852.50/408,276.45 = 161,716.50/x
  3. Step 3: Cross multiply
    295,852.50x = 408,276.45 × 161,716.50
  4. Step 4: Simplify right side
    295,852.50x = 66,025,038,526.43
  5. Step 5: Solve for x
    x = 66,025,038,526.43/295,852.50
  6. Step 6: Final answer
    x = 223,168.77

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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.