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Finding the Fourth Proportional to 106,903.71, 160,353.88 and 36,783.63

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Solution

The fourth proportional to 106,903.71, 160,353.88 and 36,783.63 is: 55,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.71 : 160,353.88 = 36,783.63 : x
  2. Step 2: Convert to fraction form
    106,903.71/160,353.88 = 36,783.63/x
  3. Step 3: Cross multiply
    106,903.71x = 160,353.88 × 36,783.63
  4. Step 4: Simplify right side
    106,903.71x = 5,898,397,790.98
  5. Step 5: Solve for x
    x = 5,898,397,790.98/106,903.71
  6. Step 6: Final answer
    x = 55,174.87

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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.