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Finding the Fourth Proportional to 106,985.70, 160,171.35 and 65,513.70

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Solution

The fourth proportional to 106,985.70, 160,171.35 and 65,513.70 is: 98,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,985.70 : 160,171.35 = 65,513.70 : x
  2. Step 2: Convert to fraction form
    106,985.70/160,171.35 = 65,513.70/x
  3. Step 3: Cross multiply
    106,985.70x = 160,171.35 × 65,513.70
  4. Step 4: Simplify right side
    106,985.70x = 10,493,417,772.50
  5. Step 5: Solve for x
    x = 10,493,417,772.50/106,985.70
  6. Step 6: Final answer
    x = 98,082.43

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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.