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Finding the Fourth Proportional to 111,054, 166,598.31 and 36,156.47

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Solution

The fourth proportional to 111,054, 166,598.31 and 36,156.47 is: 54,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,054 : 166,598.31 = 36,156.47 : x
  2. Step 2: Convert to fraction form
    111,054/166,598.31 = 36,156.47/x
  3. Step 3: Cross multiply
    111,054x = 166,598.31 × 36,156.47
  4. Step 4: Simplify right side
    111,054x = 6,023,605,964.57
  5. Step 5: Solve for x
    x = 6,023,605,964.57/111,054
  6. Step 6: Final answer
    x = 54,240.33

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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.