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Finding the Fourth Proportional to 146,101.50, 218,986.15 and 61,809.12

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Solution

The fourth proportional to 146,101.50, 218,986.15 and 61,809.12 is: 92,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,101.50 : 218,986.15 = 61,809.12 : x
  2. Step 2: Convert to fraction form
    146,101.50/218,986.15 = 61,809.12/x
  3. Step 3: Cross multiply
    146,101.50x = 218,986.15 × 61,809.12
  4. Step 4: Simplify right side
    146,101.50x = 13,535,341,223.69
  5. Step 5: Solve for x
    x = 13,535,341,223.69/146,101.50
  6. Step 6: Final answer
    x = 92,643.41

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1.5x scale

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.