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Finding the Fourth Proportional to 230,782.80, 346,303.80 and 97,640.40

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Solution

The fourth proportional to 230,782.80, 346,303.80 and 97,640.40 is: 146,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,782.80 : 346,303.80 = 97,640.40 : x
  2. Step 2: Convert to fraction form
    230,782.80/346,303.80 = 97,640.40/x
  3. Step 3: Cross multiply
    230,782.80x = 346,303.80 × 97,640.40
  4. Step 4: Simplify right side
    230,782.80x = 33,813,241,553.52
  5. Step 5: Solve for x
    x = 33,813,241,553.52/230,782.80
  6. Step 6: Final answer
    x = 146,515.43

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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.