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Finding the Fourth Proportional to 280,051.49, 419,836.59 and 102,521.76

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Solution

The fourth proportional to 280,051.49, 419,836.59 and 102,521.76 is: 153,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,051.49 : 419,836.59 = 102,521.76 : x
  2. Step 2: Convert to fraction form
    280,051.49/419,836.59 = 102,521.76/x
  3. Step 3: Cross multiply
    280,051.49x = 419,836.59 × 102,521.76
  4. Step 4: Simplify right side
    280,051.49x = 43,042,386,119.20
  5. Step 5: Solve for x
    x = 43,042,386,119.20/280,051.49
  6. Step 6: Final answer
    x = 153,694.55

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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.