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Finding the Fourth Proportional to 140,564.80, 210,944.40 and 101,150.20

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Solution

The fourth proportional to 140,564.80, 210,944.40 and 101,150.20 is: 151,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564.80 : 210,944.40 = 101,150.20 : x
  2. Step 2: Convert to fraction form
    140,564.80/210,944.40 = 101,150.20/x
  3. Step 3: Cross multiply
    140,564.80x = 210,944.40 × 101,150.20
  4. Step 4: Simplify right side
    140,564.80x = 21,337,068,248.88
  5. Step 5: Solve for x
    x = 21,337,068,248.88/140,564.80
  6. Step 6: Final answer
    x = 151,795.24

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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.