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Finding the Fourth Proportional to 164,376, 226,840.50 and 88,926.12

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Solution

The fourth proportional to 164,376, 226,840.50 and 88,926.12 is: 122,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,376 : 226,840.50 = 88,926.12 : x
  2. Step 2: Convert to fraction form
    164,376/226,840.50 = 88,926.12/x
  3. Step 3: Cross multiply
    164,376x = 226,840.50 × 88,926.12
  4. Step 4: Simplify right side
    164,376x = 20,172,045,523.86
  5. Step 5: Solve for x
    x = 20,172,045,523.86/164,376
  6. Step 6: Final answer
    x = 122,718.92

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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.