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Finding the Fourth Proportional to 146,232.08, 219,315.28 and 67,270.40

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Solution

The fourth proportional to 146,232.08, 219,315.28 and 67,270.40 is: 100,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,232.08 : 219,315.28 = 67,270.40 : x
  2. Step 2: Convert to fraction form
    146,232.08/219,315.28 = 67,270.40/x
  3. Step 3: Cross multiply
    146,232.08x = 219,315.28 × 67,270.40
  4. Step 4: Simplify right side
    146,232.08x = 14,753,426,611.71
  5. Step 5: Solve for x
    x = 14,753,426,611.71/146,232.08
  6. Step 6: Final answer
    x = 100,890.49

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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.