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Finding the Fourth Proportional to 102,216.80, 153,350.72 and 100,521.60

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Solution

The fourth proportional to 102,216.80, 153,350.72 and 100,521.60 is: 150,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.80 : 153,350.72 = 100,521.60 : x
  2. Step 2: Convert to fraction form
    102,216.80/153,350.72 = 100,521.60/x
  3. Step 3: Cross multiply
    102,216.80x = 153,350.72 × 100,521.60
  4. Step 4: Simplify right side
    102,216.80x = 15,415,059,735.55
  5. Step 5: Solve for x
    x = 15,415,059,735.55/102,216.80
  6. Step 6: Final answer
    x = 150,807.50

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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.