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Finding the Fourth Proportional to 159,900.68, 239,829.16 and 47,598.22

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Solution

The fourth proportional to 159,900.68, 239,829.16 and 47,598.22 is: 71,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,900.68 : 239,829.16 = 47,598.22 : x
  2. Step 2: Convert to fraction form
    159,900.68/239,829.16 = 47,598.22/x
  3. Step 3: Cross multiply
    159,900.68x = 239,829.16 × 47,598.22
  4. Step 4: Simplify right side
    159,900.68x = 11,415,441,120.10
  5. Step 5: Solve for x
    x = 11,415,441,120.10/159,900.68
  6. Step 6: Final answer
    x = 71,390.82

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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.