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Finding the Fourth Proportional to 264,141.30, 396,503.55 and 164,414.10

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Solution

The fourth proportional to 264,141.30, 396,503.55 and 164,414.10 is: 246,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,141.30 : 396,503.55 = 164,414.10 : x
  2. Step 2: Convert to fraction form
    264,141.30/396,503.55 = 164,414.10/x
  3. Step 3: Cross multiply
    264,141.30x = 396,503.55 × 164,414.10
  4. Step 4: Simplify right side
    264,141.30x = 65,190,774,320.06
  5. Step 5: Solve for x
    x = 65,190,774,320.06/264,141.30
  6. Step 6: Final answer
    x = 246,802.66

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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.