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Finding the Fourth Proportional to 100,706.95, 151,101.33 and 50,801.50

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Solution

The fourth proportional to 100,706.95, 151,101.33 and 50,801.50 is: 76,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,706.95 : 151,101.33 = 50,801.50 : x
  2. Step 2: Convert to fraction form
    100,706.95/151,101.33 = 50,801.50/x
  3. Step 3: Cross multiply
    100,706.95x = 151,101.33 × 50,801.50
  4. Step 4: Simplify right side
    100,706.95x = 7,676,174,216.00
  5. Step 5: Solve for x
    x = 7,676,174,216.00/100,706.95
  6. Step 6: Final answer
    x = 76,222.88

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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.