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Finding the Fourth Proportional to 283,076.88, 424,642.05 and 93,538.50

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Solution

The fourth proportional to 283,076.88, 424,642.05 and 93,538.50 is: 140,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,076.88 : 424,642.05 = 93,538.50 : x
  2. Step 2: Convert to fraction form
    283,076.88/424,642.05 = 93,538.50/x
  3. Step 3: Cross multiply
    283,076.88x = 424,642.05 × 93,538.50
  4. Step 4: Simplify right side
    283,076.88x = 39,720,380,393.93
  5. Step 5: Solve for x
    x = 39,720,380,393.93/283,076.88
  6. Step 6: Final answer
    x = 140,316.58

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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.