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Finding the Fourth Proportional to 146,866.70, 202,687.71 and 83,220.14

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Solution

The fourth proportional to 146,866.70, 202,687.71 and 83,220.14 is: 114,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,866.70 : 202,687.71 = 83,220.14 : x
  2. Step 2: Convert to fraction form
    146,866.70/202,687.71 = 83,220.14/x
  3. Step 3: Cross multiply
    146,866.70x = 202,687.71 × 83,220.14
  4. Step 4: Simplify right side
    146,866.70x = 16,867,699,602.48
  5. Step 5: Solve for x
    x = 16,867,699,602.48/146,866.70
  6. Step 6: Final answer
    x = 114,850.40

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1.5x scale

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.