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Finding the Fourth Proportional to 215,142.40, 322,711.54 and 130,926.50

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Solution

The fourth proportional to 215,142.40, 322,711.54 and 130,926.50 is: 196,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,142.40 : 322,711.54 = 130,926.50 : x
  2. Step 2: Convert to fraction form
    215,142.40/322,711.54 = 130,926.50/x
  3. Step 3: Cross multiply
    215,142.40x = 322,711.54 × 130,926.50
  4. Step 4: Simplify right side
    215,142.40x = 42,251,490,500.94
  5. Step 5: Solve for x
    x = 42,251,490,500.94/215,142.40
  6. Step 6: Final answer
    x = 196,388.49

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