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Finding the Fourth Proportional to 233,165.73, 349,711.54 and 83,378.10

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Solution

The fourth proportional to 233,165.73, 349,711.54 and 83,378.10 is: 125,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,165.73 : 349,711.54 = 83,378.10 : x
  2. Step 2: Convert to fraction form
    233,165.73/349,711.54 = 83,378.10/x
  3. Step 3: Cross multiply
    233,165.73x = 349,711.54 × 83,378.10
  4. Step 4: Simplify right side
    233,165.73x = 29,158,283,544.83
  5. Step 5: Solve for x
    x = 29,158,283,544.83/233,165.73
  6. Step 6: Final answer
    x = 125,053.90

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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.