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Finding the Fourth Proportional to 235,283.83, 352,727.32 and 102,063.73

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Solution

The fourth proportional to 235,283.83, 352,727.32 and 102,063.73 is: 153,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,283.83 : 352,727.32 = 102,063.73 : x
  2. Step 2: Convert to fraction form
    235,283.83/352,727.32 = 102,063.73/x
  3. Step 3: Cross multiply
    235,283.83x = 352,727.32 × 102,063.73
  4. Step 4: Simplify right side
    235,283.83x = 36,000,665,952.10
  5. Step 5: Solve for x
    x = 36,000,665,952.10/235,283.83
  6. Step 6: Final answer
    x = 153,009.52

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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.