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Finding the Fourth Proportional to 230,463.50, 345,445.29 and 117,989.46

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Solution

The fourth proportional to 230,463.50, 345,445.29 and 117,989.46 is: 176,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,463.50 : 345,445.29 = 117,989.46 : x
  2. Step 2: Convert to fraction form
    230,463.50/345,445.29 = 117,989.46/x
  3. Step 3: Cross multiply
    230,463.50x = 345,445.29 × 117,989.46
  4. Step 4: Simplify right side
    230,463.50x = 40,758,903,226.64
  5. Step 5: Solve for x
    x = 40,758,903,226.64/230,463.50
  6. Step 6: Final answer
    x = 176,856.22

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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.