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Finding the Fourth Proportional to 106,689.80, 160,057.80 and 56,762.67

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Solution

The fourth proportional to 106,689.80, 160,057.80 and 56,762.67 is: 85,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,689.80 : 160,057.80 = 56,762.67 : x
  2. Step 2: Convert to fraction form
    106,689.80/160,057.80 = 56,762.67/x
  3. Step 3: Cross multiply
    106,689.80x = 160,057.80 × 56,762.67
  4. Step 4: Simplify right side
    106,689.80x = 9,085,308,082.33
  5. Step 5: Solve for x
    x = 9,085,308,082.33/106,689.80
  6. Step 6: Final answer
    x = 85,156.30

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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.