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Finding the Fourth Proportional to 97,768.25, 134,920.19 and 53,056.25

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Solution

The fourth proportional to 97,768.25, 134,920.19 and 53,056.25 is: 73,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768.25 : 134,920.19 = 53,056.25 : x
  2. Step 2: Convert to fraction form
    97,768.25/134,920.19 = 53,056.25/x
  3. Step 3: Cross multiply
    97,768.25x = 134,920.19 × 53,056.25
  4. Step 4: Simplify right side
    97,768.25x = 7,158,359,330.69
  5. Step 5: Solve for x
    x = 7,158,359,330.69/97,768.25
  6. Step 6: Final answer
    x = 73,217.63

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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.