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Finding the Fourth Proportional to 214,163.93, 295,070.42 and 141,437.67

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Solution

The fourth proportional to 214,163.93, 295,070.42 and 141,437.67 is: 194,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,163.93 : 295,070.42 = 141,437.67 : x
  2. Step 2: Convert to fraction form
    214,163.93/295,070.42 = 141,437.67/x
  3. Step 3: Cross multiply
    214,163.93x = 295,070.42 × 141,437.67
  4. Step 4: Simplify right side
    214,163.93x = 41,734,072,690.72
  5. Step 5: Solve for x
    x = 41,734,072,690.72/214,163.93
  6. Step 6: Final answer
    x = 194,869.76

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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.