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Finding the Fourth Proportional to 150,126, 207,176.51 and 82,148.93

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Solution

The fourth proportional to 150,126, 207,176.51 and 82,148.93 is: 113,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,126 : 207,176.51 = 82,148.93 : x
  2. Step 2: Convert to fraction form
    150,126/207,176.51 = 82,148.93/x
  3. Step 3: Cross multiply
    150,126x = 207,176.51 × 82,148.93
  4. Step 4: Simplify right side
    150,126x = 17,019,328,564.04
  5. Step 5: Solve for x
    x = 17,019,328,564.04/150,126
  6. Step 6: Final answer
    x = 113,366.96

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