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Finding the Fourth Proportional to 194,449, 268,339.80 and 105,025

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Solution

The fourth proportional to 194,449, 268,339.80 and 105,025 is: 144,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,449 : 268,339.80 = 105,025 : x
  2. Step 2: Convert to fraction form
    194,449/268,339.80 = 105,025/x
  3. Step 3: Cross multiply
    194,449x = 268,339.80 × 105,025
  4. Step 4: Simplify right side
    194,449x = 28,182,387,495
  5. Step 5: Solve for x
    x = 28,182,387,495/194,449
  6. Step 6: Final answer
    x = 144,934.60

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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.