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Finding the Fourth Proportional to 169,414.94, 253,623.11 and 148,396.05

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Solution

The fourth proportional to 169,414.94, 253,623.11 and 148,396.05 is: 222,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,414.94 : 253,623.11 = 148,396.05 : x
  2. Step 2: Convert to fraction form
    169,414.94/253,623.11 = 148,396.05/x
  3. Step 3: Cross multiply
    169,414.94x = 253,623.11 × 148,396.05
  4. Step 4: Simplify right side
    169,414.94x = 37,636,666,970.74
  5. Step 5: Solve for x
    x = 37,636,666,970.74/169,414.94
  6. Step 6: Final answer
    x = 222,156.72

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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.