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Finding the Fourth Proportional to 116,124.88, 160,286.44 and 75,844.80

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Solution

The fourth proportional to 116,124.88, 160,286.44 and 75,844.80 is: 104,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,124.88 : 160,286.44 = 75,844.80 : x
  2. Step 2: Convert to fraction form
    116,124.88/160,286.44 = 75,844.80/x
  3. Step 3: Cross multiply
    116,124.88x = 160,286.44 × 75,844.80
  4. Step 4: Simplify right side
    116,124.88x = 12,156,892,984.51
  5. Step 5: Solve for x
    x = 12,156,892,984.51/116,124.88
  6. Step 6: Final answer
    x = 104,688.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.