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Finding the Fourth Proportional to 107,913.80, 161,870.70 and 107,222.60

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Solution

The fourth proportional to 107,913.80, 161,870.70 and 107,222.60 is: 160,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,913.80 : 161,870.70 = 107,222.60 : x
  2. Step 2: Convert to fraction form
    107,913.80/161,870.70 = 107,222.60/x
  3. Step 3: Cross multiply
    107,913.80x = 161,870.70 × 107,222.60
  4. Step 4: Simplify right side
    107,913.80x = 17,356,197,317.82
  5. Step 5: Solve for x
    x = 17,356,197,317.82/107,913.80
  6. Step 6: Final answer
    x = 160,833.90

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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.