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Finding the Fourth Proportional to 200,723.98, 301,097.30 and 88,456.90

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Solution

The fourth proportional to 200,723.98, 301,097.30 and 88,456.90 is: 132,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.98 : 301,097.30 = 88,456.90 : x
  2. Step 2: Convert to fraction form
    200,723.98/301,097.30 = 88,456.90/x
  3. Step 3: Cross multiply
    200,723.98x = 301,097.30 × 88,456.90
  4. Step 4: Simplify right side
    200,723.98x = 26,634,133,756.37
  5. Step 5: Solve for x
    x = 26,634,133,756.37/200,723.98
  6. Step 6: Final answer
    x = 132,690.34

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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.