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Finding the Fourth Proportional to 153,693, 212,096.34 and 86,625

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Solution

The fourth proportional to 153,693, 212,096.34 and 86,625 is: 119,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,693 : 212,096.34 = 86,625 : x
  2. Step 2: Convert to fraction form
    153,693/212,096.34 = 86,625/x
  3. Step 3: Cross multiply
    153,693x = 212,096.34 × 86,625
  4. Step 4: Simplify right side
    153,693x = 18,372,845,452.50
  5. Step 5: Solve for x
    x = 18,372,845,452.50/153,693
  6. Step 6: Final answer
    x = 119,542.50

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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.