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Finding the Fourth Proportional to 230,970.80, 346,504.80 and 73,215.20

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Solution

The fourth proportional to 230,970.80, 346,504.80 and 73,215.20 is: 109,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,970.80 : 346,504.80 = 73,215.20 : x
  2. Step 2: Convert to fraction form
    230,970.80/346,504.80 = 73,215.20/x
  3. Step 3: Cross multiply
    230,970.80x = 346,504.80 × 73,215.20
  4. Step 4: Simplify right side
    230,970.80x = 25,369,418,232.96
  5. Step 5: Solve for x
    x = 25,369,418,232.96/230,970.80
  6. Step 6: Final answer
    x = 109,838.21

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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.