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Finding the Fourth Proportional to 233,114.20, 349,585.56 and 83,314

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Solution

The fourth proportional to 233,114.20, 349,585.56 and 83,314 is: 124,940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,114.20 : 349,585.56 = 83,314 : x
  2. Step 2: Convert to fraction form
    233,114.20/349,585.56 = 83,314/x
  3. Step 3: Cross multiply
    233,114.20x = 349,585.56 × 83,314
  4. Step 4: Simplify right side
    233,114.20x = 29,125,371,345.84
  5. Step 5: Solve for x
    x = 29,125,371,345.84/233,114.20
  6. Step 6: Final answer
    x = 124,940.36

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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.