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Finding the Fourth Proportional to 133,257.98, 183,878.24 and 85,575.91

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Solution

The fourth proportional to 133,257.98, 183,878.24 and 85,575.91 is: 118,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,257.98 : 183,878.24 = 85,575.91 : x
  2. Step 2: Convert to fraction form
    133,257.98/183,878.24 = 85,575.91/x
  3. Step 3: Cross multiply
    133,257.98x = 183,878.24 × 85,575.91
  4. Step 4: Simplify right side
    133,257.98x = 15,735,546,829.62
  5. Step 5: Solve for x
    x = 15,735,546,829.62/133,257.98
  6. Step 6: Final answer
    x = 118,083.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.