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Finding the Fourth Proportional to 164,376, 226,839.15 and 88,924.50

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Solution

The fourth proportional to 164,376, 226,839.15 and 88,924.50 is: 122,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,376 : 226,839.15 = 88,924.50 : x
  2. Step 2: Convert to fraction form
    164,376/226,839.15 = 88,924.50/x
  3. Step 3: Cross multiply
    164,376x = 226,839.15 × 88,924.50
  4. Step 4: Simplify right side
    164,376x = 20,171,557,994.18
  5. Step 5: Solve for x
    x = 20,171,557,994.18/164,376
  6. Step 6: Final answer
    x = 122,715.96

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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.