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Finding the Fourth Proportional to 239,193.81, 358,834.86 and 98,963.37

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Solution

The fourth proportional to 239,193.81, 358,834.86 and 98,963.37 is: 148,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,193.81 : 358,834.86 = 98,963.37 : x
  2. Step 2: Convert to fraction form
    239,193.81/358,834.86 = 98,963.37/x
  3. Step 3: Cross multiply
    239,193.81x = 358,834.86 × 98,963.37
  4. Step 4: Simplify right side
    239,193.81x = 35,511,507,019.08
  5. Step 5: Solve for x
    x = 35,511,507,019.08/239,193.81
  6. Step 6: Final answer
    x = 148,463.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.