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Finding the Fourth Proportional to 265,837.14, 398,639.07 and 99,508.50

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Solution

The fourth proportional to 265,837.14, 398,639.07 and 99,508.50 is: 149,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,837.14 : 398,639.07 = 99,508.50 : x
  2. Step 2: Convert to fraction form
    265,837.14/398,639.07 = 99,508.50/x
  3. Step 3: Cross multiply
    265,837.14x = 398,639.07 × 99,508.50
  4. Step 4: Simplify right side
    265,837.14x = 39,667,975,897.10
  5. Step 5: Solve for x
    x = 39,667,975,897.10/265,837.14
  6. Step 6: Final answer
    x = 149,219.09

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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.