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Finding the Fourth Proportional to 268,115.60, 401,827.80 and 162,822.80

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Solution

The fourth proportional to 268,115.60, 401,827.80 and 162,822.80 is: 244,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,115.60 : 401,827.80 = 162,822.80 : x
  2. Step 2: Convert to fraction form
    268,115.60/401,827.80 = 162,822.80/x
  3. Step 3: Cross multiply
    268,115.60x = 401,827.80 × 162,822.80
  4. Step 4: Simplify right side
    268,115.60x = 65,426,727,513.84
  5. Step 5: Solve for x
    x = 65,426,727,513.84/268,115.60
  6. Step 6: Final answer
    x = 244,024.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.