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Finding the Fourth Proportional to 235,235.84, 352,853.22 and 102,098.84

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Solution

The fourth proportional to 235,235.84, 352,853.22 and 102,098.84 is: 153,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,235.84 : 352,853.22 = 102,098.84 : x
  2. Step 2: Convert to fraction form
    235,235.84/352,853.22 = 102,098.84/x
  3. Step 3: Cross multiply
    235,235.84x = 352,853.22 × 102,098.84
  4. Step 4: Simplify right side
    235,235.84x = 36,025,904,452.26
  5. Step 5: Solve for x
    x = 36,025,904,452.26/235,235.84
  6. Step 6: Final answer
    x = 153,148.03

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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.