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Finding the Fourth Proportional to 210,831, 316,226.90 and 59,041.82

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Solution

The fourth proportional to 210,831, 316,226.90 and 59,041.82 is: 88,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,831 : 316,226.90 = 59,041.82 : x
  2. Step 2: Convert to fraction form
    210,831/316,226.90 = 59,041.82/x
  3. Step 3: Cross multiply
    210,831x = 316,226.90 × 59,041.82
  4. Step 4: Simplify right side
    210,831x = 18,670,609,832.61
  5. Step 5: Solve for x
    x = 18,670,609,832.61/210,831
  6. Step 6: Final answer
    x = 88,557.23

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Why These Related Problems?

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