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Finding the Fourth Proportional to 242,366, 334,491 and 141,848.24

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Solution

The fourth proportional to 242,366, 334,491 and 141,848.24 is: 195,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,366 : 334,491 = 141,848.24 : x
  2. Step 2: Convert to fraction form
    242,366/334,491 = 141,848.24/x
  3. Step 3: Cross multiply
    242,366x = 334,491 × 141,848.24
  4. Step 4: Simplify right side
    242,366x = 47,446,959,645.84
  5. Step 5: Solve for x
    x = 47,446,959,645.84/242,366
  6. Step 6: Final answer
    x = 195,765.74

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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.