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Finding the Fourth Proportional to 221,059.54, 305,201.52 and 156,665.34

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Solution

The fourth proportional to 221,059.54, 305,201.52 and 156,665.34 is: 216,296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,059.54 : 305,201.52 = 156,665.34 : x
  2. Step 2: Convert to fraction form
    221,059.54/305,201.52 = 156,665.34/x
  3. Step 3: Cross multiply
    221,059.54x = 305,201.52 × 156,665.34
  4. Step 4: Simplify right side
    221,059.54x = 47,814,499,899.32
  5. Step 5: Solve for x
    x = 47,814,499,899.32/221,059.54
  6. Step 6: Final answer
    x = 216,296.93

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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.