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Finding the Fourth Proportional to 201,407.80, 277,949.90 and 110,770.78

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Solution

The fourth proportional to 201,407.80, 277,949.90 and 110,770.78 is: 152,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,407.80 : 277,949.90 = 110,770.78 : x
  2. Step 2: Convert to fraction form
    201,407.80/277,949.90 = 110,770.78/x
  3. Step 3: Cross multiply
    201,407.80x = 277,949.90 × 110,770.78
  4. Step 4: Simplify right side
    201,407.80x = 30,788,727,223.92
  5. Step 5: Solve for x
    x = 30,788,727,223.92/201,407.80
  6. Step 6: Final answer
    x = 152,867.60

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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.