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Finding the Fourth Proportional to 230,030.70, 345,056.85 and 72,264.30

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Solution

The fourth proportional to 230,030.70, 345,056.85 and 72,264.30 is: 108,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,030.70 : 345,056.85 = 72,264.30 : x
  2. Step 2: Convert to fraction form
    230,030.70/345,056.85 = 72,264.30/x
  3. Step 3: Cross multiply
    230,030.70x = 345,056.85 × 72,264.30
  4. Step 4: Simplify right side
    230,030.70x = 24,935,291,725.46
  5. Step 5: Solve for x
    x = 24,935,291,725.46/230,030.70
  6. Step 6: Final answer
    x = 108,399.84

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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.