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Finding the Fourth Proportional to 111,307.50, 166,970.97 and 28,201.50

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Solution

The fourth proportional to 111,307.50, 166,970.97 and 28,201.50 is: 42,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,307.50 : 166,970.97 = 28,201.50 : x
  2. Step 2: Convert to fraction form
    111,307.50/166,970.97 = 28,201.50/x
  3. Step 3: Cross multiply
    111,307.50x = 166,970.97 × 28,201.50
  4. Step 4: Simplify right side
    111,307.50x = 4,708,831,810.46
  5. Step 5: Solve for x
    x = 4,708,831,810.46/111,307.50
  6. Step 6: Final answer
    x = 42,304.71

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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.