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Finding the Fourth Proportional to 235,382.88, 352,875.28 and 102,163

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Solution

The fourth proportional to 235,382.88, 352,875.28 and 102,163 is: 153,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,382.88 : 352,875.28 = 102,163 : x
  2. Step 2: Convert to fraction form
    235,382.88/352,875.28 = 102,163/x
  3. Step 3: Cross multiply
    235,382.88x = 352,875.28 × 102,163
  4. Step 4: Simplify right side
    235,382.88x = 36,050,797,230.64
  5. Step 5: Solve for x
    x = 36,050,797,230.64/235,382.88
  6. Step 6: Final answer
    x = 153,158.11

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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.