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Finding the Fourth Proportional to 131,570.84, 197,358.68 and 42,824

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Solution

The fourth proportional to 131,570.84, 197,358.68 and 42,824 is: 64,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,570.84 : 197,358.68 = 42,824 : x
  2. Step 2: Convert to fraction form
    131,570.84/197,358.68 = 42,824/x
  3. Step 3: Cross multiply
    131,570.84x = 197,358.68 × 42,824
  4. Step 4: Simplify right side
    131,570.84x = 8,451,688,112.32
  5. Step 5: Solve for x
    x = 8,451,688,112.32/131,570.84
  6. Step 6: Final answer
    x = 64,236.79

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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.