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Finding the Fourth Proportional to 262,083.80, 392,892.88 and 102,122.64

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Solution

The fourth proportional to 262,083.80, 392,892.88 and 102,122.64 is: 153,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,083.80 : 392,892.88 = 102,122.64 : x
  2. Step 2: Convert to fraction form
    262,083.80/392,892.88 = 102,122.64/x
  3. Step 3: Cross multiply
    262,083.80x = 392,892.88 × 102,122.64
  4. Step 4: Simplify right side
    262,083.80x = 40,123,258,142.80
  5. Step 5: Solve for x
    x = 40,123,258,142.80/262,083.80
  6. Step 6: Final answer
    x = 153,093.24

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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.