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Finding the Fourth Proportional to 230,298.61, 345,447.91 and 89,958.82

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Solution

The fourth proportional to 230,298.61, 345,447.91 and 89,958.82 is: 134,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,298.61 : 345,447.91 = 89,958.82 : x
  2. Step 2: Convert to fraction form
    230,298.61/345,447.91 = 89,958.82/x
  3. Step 3: Cross multiply
    230,298.61x = 345,447.91 × 89,958.82
  4. Step 4: Simplify right side
    230,298.61x = 31,076,084,178.03
  5. Step 5: Solve for x
    x = 31,076,084,178.03/230,298.61
  6. Step 6: Final answer
    x = 134,938.22

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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.