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Finding the Fourth Proportional to 233,087.54, 349,580.72 and 83,338.20

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Solution

The fourth proportional to 233,087.54, 349,580.72 and 83,338.20 is: 124,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,087.54 : 349,580.72 = 83,338.20 : x
  2. Step 2: Convert to fraction form
    233,087.54/349,580.72 = 83,338.20/x
  3. Step 3: Cross multiply
    233,087.54x = 349,580.72 × 83,338.20
  4. Step 4: Simplify right side
    233,087.54x = 29,133,427,959.50
  5. Step 5: Solve for x
    x = 29,133,427,959.50/233,087.54
  6. Step 6: Final answer
    x = 124,989.21

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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.