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Finding the Fourth Proportional to 106,900.71, 160,349.39 and 36,780.63

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Solution

The fourth proportional to 106,900.71, 160,349.39 and 36,780.63 is: 55,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900.71 : 160,349.39 = 36,780.63 : x
  2. Step 2: Convert to fraction form
    106,900.71/160,349.39 = 36,780.63/x
  3. Step 3: Cross multiply
    106,900.71x = 160,349.39 × 36,780.63
  4. Step 4: Simplify right side
    106,900.71x = 5,897,751,400.41
  5. Step 5: Solve for x
    x = 5,897,751,400.41/106,900.71
  6. Step 6: Final answer
    x = 55,170.37

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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.