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Finding the Fourth Proportional to 107,071.96, 160,755.06 and 54,516.76

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Solution

The fourth proportional to 107,071.96, 160,755.06 and 54,516.76 is: 81,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071.96 : 160,755.06 = 54,516.76 : x
  2. Step 2: Convert to fraction form
    107,071.96/160,755.06 = 54,516.76/x
  3. Step 3: Cross multiply
    107,071.96x = 160,755.06 × 54,516.76
  4. Step 4: Simplify right side
    107,071.96x = 8,763,845,024.81
  5. Step 5: Solve for x
    x = 8,763,845,024.81/107,071.96
  6. Step 6: Final answer
    x = 81,850.05

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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.