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Finding the Fourth Proportional to 233,301.28, 349,957.32 and 83,551.84

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Solution

The fourth proportional to 233,301.28, 349,957.32 and 83,551.84 is: 125,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,301.28 : 349,957.32 = 83,551.84 : x
  2. Step 2: Convert to fraction form
    233,301.28/349,957.32 = 83,551.84/x
  3. Step 3: Cross multiply
    233,301.28x = 349,957.32 × 83,551.84
  4. Step 4: Simplify right side
    233,301.28x = 29,239,578,007.47
  5. Step 5: Solve for x
    x = 29,239,578,007.47/233,301.28
  6. Step 6: Final answer
    x = 125,329.69

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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.