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Finding the Fourth Proportional to 97,195.54, 134,163.39 and 56,922.25

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Solution

The fourth proportional to 97,195.54, 134,163.39 and 56,922.25 is: 78,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,195.54 : 134,163.39 = 56,922.25 : x
  2. Step 2: Convert to fraction form
    97,195.54/134,163.39 = 56,922.25/x
  3. Step 3: Cross multiply
    97,195.54x = 134,163.39 × 56,922.25
  4. Step 4: Simplify right side
    97,195.54x = 7,636,882,026.43
  5. Step 5: Solve for x
    x = 7,636,882,026.43/97,195.54
  6. Step 6: Final answer
    x = 78,572.35

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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.