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Finding the Fourth Proportional to 98,564.20, 147,846.30 and 42,431.20

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Solution

The fourth proportional to 98,564.20, 147,846.30 and 42,431.20 is: 63,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,564.20 : 147,846.30 = 42,431.20 : x
  2. Step 2: Convert to fraction form
    98,564.20/147,846.30 = 42,431.20/x
  3. Step 3: Cross multiply
    98,564.20x = 147,846.30 × 42,431.20
  4. Step 4: Simplify right side
    98,564.20x = 6,273,295,924.56
  5. Step 5: Solve for x
    x = 6,273,295,924.56/98,564.20
  6. Step 6: Final answer
    x = 63,646.80

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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.