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Finding the Fourth Proportional to 221,598.54, 305,806.32 and 120,996.54

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Solution

The fourth proportional to 221,598.54, 305,806.32 and 120,996.54 is: 166,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,598.54 : 305,806.32 = 120,996.54 : x
  2. Step 2: Convert to fraction form
    221,598.54/305,806.32 = 120,996.54/x
  3. Step 3: Cross multiply
    221,598.54x = 305,806.32 × 120,996.54
  4. Step 4: Simplify right side
    221,598.54x = 37,001,506,630.13
  5. Step 5: Solve for x
    x = 37,001,506,630.13/221,598.54
  6. Step 6: Final answer
    x = 166,975.41

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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.