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Finding the Fourth Proportional to 295,750.64, 408,136.92 and 161,617.52

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Solution

The fourth proportional to 295,750.64, 408,136.92 and 161,617.52 is: 223,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,750.64 : 408,136.92 = 161,617.52 : x
  2. Step 2: Convert to fraction form
    295,750.64/408,136.92 = 161,617.52/x
  3. Step 3: Cross multiply
    295,750.64x = 408,136.92 × 161,617.52
  4. Step 4: Simplify right side
    295,750.64x = 65,962,076,830.84
  5. Step 5: Solve for x
    x = 65,962,076,830.84/295,750.64
  6. Step 6: Final answer
    x = 223,032.74

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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.