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Finding the Fourth Proportional to 106,294.50, 146,673.63 and 60,970.14

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Solution

The fourth proportional to 106,294.50, 146,673.63 and 60,970.14 is: 84,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.50 : 146,673.63 = 60,970.14 : x
  2. Step 2: Convert to fraction form
    106,294.50/146,673.63 = 60,970.14/x
  3. Step 3: Cross multiply
    106,294.50x = 146,673.63 × 60,970.14
  4. Step 4: Simplify right side
    106,294.50x = 8,942,711,755.41
  5. Step 5: Solve for x
    x = 8,942,711,755.41/106,294.50
  6. Step 6: Final answer
    x = 84,131.46

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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.