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Finding the Fourth Proportional to 197,876.64, 296,322.57 and 138,433.98

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Solution

The fourth proportional to 197,876.64, 296,322.57 and 138,433.98 is: 207,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,876.64 : 296,322.57 = 138,433.98 : x
  2. Step 2: Convert to fraction form
    197,876.64/296,322.57 = 138,433.98/x
  3. Step 3: Cross multiply
    197,876.64x = 296,322.57 × 138,433.98
  4. Step 4: Simplify right side
    197,876.64x = 41,021,112,728.93
  5. Step 5: Solve for x
    x = 41,021,112,728.93/197,876.64
  6. Step 6: Final answer
    x = 207,306.50

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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.