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Finding the Fourth Proportional to 469,097.23, 703,689.65 and 132,137.33

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Solution

The fourth proportional to 469,097.23, 703,689.65 and 132,137.33 is: 198,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,097.23 : 703,689.65 = 132,137.33 : x
  2. Step 2: Convert to fraction form
    469,097.23/703,689.65 = 132,137.33/x
  3. Step 3: Cross multiply
    469,097.23x = 703,689.65 × 132,137.33
  4. Step 4: Simplify right side
    469,097.23x = 92,983,670,070.75
  5. Step 5: Solve for x
    x = 92,983,670,070.75/469,097.23
  6. Step 6: Final answer
    x = 198,218.33

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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.