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Finding the Fourth Proportional to 119,044.84, 178,569.96 and 30,298

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Solution

The fourth proportional to 119,044.84, 178,569.96 and 30,298 is: 45,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,044.84 : 178,569.96 = 30,298 : x
  2. Step 2: Convert to fraction form
    119,044.84/178,569.96 = 30,298/x
  3. Step 3: Cross multiply
    119,044.84x = 178,569.96 × 30,298
  4. Step 4: Simplify right side
    119,044.84x = 5,410,312,648.08
  5. Step 5: Solve for x
    x = 5,410,312,648.08/119,044.84
  6. Step 6: Final answer
    x = 45,447.69

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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.