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Finding the Fourth Proportional to 100,807.70, 151,211.55 and 71,283.20

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Solution

The fourth proportional to 100,807.70, 151,211.55 and 71,283.20 is: 106,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,807.70 : 151,211.55 = 71,283.20 : x
  2. Step 2: Convert to fraction form
    100,807.70/151,211.55 = 71,283.20/x
  3. Step 3: Cross multiply
    100,807.70x = 151,211.55 × 71,283.20
  4. Step 4: Simplify right side
    100,807.70x = 10,778,843,160.96
  5. Step 5: Solve for x
    x = 10,778,843,160.96/100,807.70
  6. Step 6: Final answer
    x = 106,924.80

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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.