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Finding the Fourth Proportional to 138,814.94, 208,222.34 and 45,320.69

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Solution

The fourth proportional to 138,814.94, 208,222.34 and 45,320.69 is: 67,981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.94 : 208,222.34 = 45,320.69 : x
  2. Step 2: Convert to fraction form
    138,814.94/208,222.34 = 45,320.69/x
  3. Step 3: Cross multiply
    138,814.94x = 208,222.34 × 45,320.69
  4. Step 4: Simplify right side
    138,814.94x = 9,436,780,122.21
  5. Step 5: Solve for x
    x = 9,436,780,122.21/138,814.94
  6. Step 6: Final answer
    x = 67,981.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.