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Finding the Fourth Proportional to 231,402.18, 319,240.80 and 150,800.34

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Solution

The fourth proportional to 231,402.18, 319,240.80 and 150,800.34 is: 208,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,402.18 : 319,240.80 = 150,800.34 : x
  2. Step 2: Convert to fraction form
    231,402.18/319,240.80 = 150,800.34/x
  3. Step 3: Cross multiply
    231,402.18x = 319,240.80 × 150,800.34
  4. Step 4: Simplify right side
    231,402.18x = 48,141,621,181.87
  5. Step 5: Solve for x
    x = 48,141,621,181.87/231,402.18
  6. Step 6: Final answer
    x = 208,043.08

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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.