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Finding the Fourth Proportional to 106,776.12, 160,178.88 and 36,646.32

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Solution

The fourth proportional to 106,776.12, 160,178.88 and 36,646.32 is: 54,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.12 : 160,178.88 = 36,646.32 : x
  2. Step 2: Convert to fraction form
    106,776.12/160,178.88 = 36,646.32/x
  3. Step 3: Cross multiply
    106,776.12x = 160,178.88 × 36,646.32
  4. Step 4: Simplify right side
    106,776.12x = 5,869,966,493.72
  5. Step 5: Solve for x
    x = 5,869,966,493.72/106,776.12
  6. Step 6: Final answer
    x = 54,974.53

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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.