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Finding the Fourth Proportional to 224,770.70, 310,370.19 and 149,660.30

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Solution

The fourth proportional to 224,770.70, 310,370.19 and 149,660.30 is: 206,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770.70 : 310,370.19 = 149,660.30 : x
  2. Step 2: Convert to fraction form
    224,770.70/310,370.19 = 149,660.30/x
  3. Step 3: Cross multiply
    224,770.70x = 310,370.19 × 149,660.30
  4. Step 4: Simplify right side
    224,770.70x = 46,450,095,746.46
  5. Step 5: Solve for x
    x = 46,450,095,746.46/224,770.70
  6. Step 6: Final answer
    x = 206,655.47

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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.