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Finding the Fourth Proportional to 97,794.83, 134,824.34 and 83,607.05

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Solution

The fourth proportional to 97,794.83, 134,824.34 and 83,607.05 is: 115,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,794.83 : 134,824.34 = 83,607.05 : x
  2. Step 2: Convert to fraction form
    97,794.83/134,824.34 = 83,607.05/x
  3. Step 3: Cross multiply
    97,794.83x = 134,824.34 × 83,607.05
  4. Step 4: Simplify right side
    97,794.83x = 11,272,265,628.88
  5. Step 5: Solve for x
    x = 11,272,265,628.88/97,794.83
  6. Step 6: Final answer
    x = 115,264.44

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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.