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Finding the Fourth Proportional to 131,500.84, 181,467.78 and 71,881

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Solution

The fourth proportional to 131,500.84, 181,467.78 and 71,881 is: 99,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,500.84 : 181,467.78 = 71,881 : x
  2. Step 2: Convert to fraction form
    131,500.84/181,467.78 = 71,881/x
  3. Step 3: Cross multiply
    131,500.84x = 181,467.78 × 71,881
  4. Step 4: Simplify right side
    131,500.84x = 13,044,085,494.18
  5. Step 5: Solve for x
    x = 13,044,085,494.18/131,500.84
  6. Step 6: Final answer
    x = 99,193.93

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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.