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Finding the Fourth Proportional to 221,893.50, 306,213.03 and 121,291.50

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Solution

The fourth proportional to 221,893.50, 306,213.03 and 121,291.50 is: 167,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,893.50 : 306,213.03 = 121,291.50 : x
  2. Step 2: Convert to fraction form
    221,893.50/306,213.03 = 121,291.50/x
  3. Step 3: Cross multiply
    221,893.50x = 306,213.03 × 121,291.50
  4. Step 4: Simplify right side
    221,893.50x = 37,141,037,728.25
  5. Step 5: Solve for x
    x = 37,141,037,728.25/221,893.50
  6. Step 6: Final answer
    x = 167,382.27

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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.