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Finding the Fourth Proportional to 233,524, 350,307.87 and 75,710.08

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Solution

The fourth proportional to 233,524, 350,307.87 and 75,710.08 is: 113,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,524 : 350,307.87 = 75,710.08 : x
  2. Step 2: Convert to fraction form
    233,524/350,307.87 = 75,710.08/x
  3. Step 3: Cross multiply
    233,524x = 350,307.87 × 75,710.08
  4. Step 4: Simplify right side
    233,524x = 26,521,836,862.33
  5. Step 5: Solve for x
    x = 26,521,836,862.33/233,524
  6. Step 6: Final answer
    x = 113,572.21

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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.