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Finding the Fourth Proportional to 115,994.46, 160,072.32 and 65,693.46

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Solution

The fourth proportional to 115,994.46, 160,072.32 and 65,693.46 is: 90,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,994.46 : 160,072.32 = 65,693.46 : x
  2. Step 2: Convert to fraction form
    115,994.46/160,072.32 = 65,693.46/x
  3. Step 3: Cross multiply
    115,994.46x = 160,072.32 × 65,693.46
  4. Step 4: Simplify right side
    115,994.46x = 10,515,704,551.03
  5. Step 5: Solve for x
    x = 10,515,704,551.03/115,994.46
  6. Step 6: Final answer
    x = 90,656.96

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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.