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Finding the Fourth Proportional to 187,697.60, 259,023.93 and 101,656.67

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Solution

The fourth proportional to 187,697.60, 259,023.93 and 101,656.67 is: 140,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,697.60 : 259,023.93 = 101,656.67 : x
  2. Step 2: Convert to fraction form
    187,697.60/259,023.93 = 101,656.67/x
  3. Step 3: Cross multiply
    187,697.60x = 259,023.93 × 101,656.67
  4. Step 4: Simplify right side
    187,697.60x = 26,331,510,174.11
  5. Step 5: Solve for x
    x = 26,331,510,174.11/187,697.60
  6. Step 6: Final answer
    x = 140,286.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.