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Finding the Fourth Proportional to 97,229.50, 134,194.12 and 56,940.90

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Solution

The fourth proportional to 97,229.50, 134,194.12 and 56,940.90 is: 78,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,229.50 : 134,194.12 = 56,940.90 : x
  2. Step 2: Convert to fraction form
    97,229.50/134,194.12 = 56,940.90/x
  3. Step 3: Cross multiply
    97,229.50x = 134,194.12 × 56,940.90
  4. Step 4: Simplify right side
    97,229.50x = 7,641,133,967.51
  5. Step 5: Solve for x
    x = 7,641,133,967.51/97,229.50
  6. Step 6: Final answer
    x = 78,588.64

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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.