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Finding the Fourth Proportional to 106,114.08, 159,237 and 61,760.64

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Solution

The fourth proportional to 106,114.08, 159,237 and 61,760.64 is: 92,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,114.08 : 159,237 = 61,760.64 : x
  2. Step 2: Convert to fraction form
    106,114.08/159,237 = 61,760.64/x
  3. Step 3: Cross multiply
    106,114.08x = 159,237 × 61,760.64
  4. Step 4: Simplify right side
    106,114.08x = 9,834,579,031.68
  5. Step 5: Solve for x
    x = 9,834,579,031.68/106,114.08
  6. Step 6: Final answer
    x = 92,679.30

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1.5x scale

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.