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Finding the Fourth Proportional to 114,530.70, 171,796.05 and 102,866.70

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Solution

The fourth proportional to 114,530.70, 171,796.05 and 102,866.70 is: 154,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,530.70 : 171,796.05 = 102,866.70 : x
  2. Step 2: Convert to fraction form
    114,530.70/171,796.05 = 102,866.70/x
  3. Step 3: Cross multiply
    114,530.70x = 171,796.05 × 102,866.70
  4. Step 4: Simplify right side
    114,530.70x = 17,672,092,736.54
  5. Step 5: Solve for x
    x = 17,672,092,736.54/114,530.70
  6. Step 6: Final answer
    x = 154,300.05

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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.