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Finding the Fourth Proportional to 151,017, 226,533.80 and 38,698.14

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Solution

The fourth proportional to 151,017, 226,533.80 and 38,698.14 is: 58,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,017 : 226,533.80 = 38,698.14 : x
  2. Step 2: Convert to fraction form
    151,017/226,533.80 = 38,698.14/x
  3. Step 3: Cross multiply
    151,017x = 226,533.80 × 38,698.14
  4. Step 4: Simplify right side
    151,017x = 8,766,436,707.13
  5. Step 5: Solve for x
    x = 8,766,436,707.13/151,017
  6. Step 6: Final answer
    x = 58,049.34

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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.