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Finding the Fourth Proportional to 221,149.38, 305,090.04 and 140,533.74

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Solution

The fourth proportional to 221,149.38, 305,090.04 and 140,533.74 is: 193,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,149.38 : 305,090.04 = 140,533.74 : x
  2. Step 2: Convert to fraction form
    221,149.38/305,090.04 = 140,533.74/x
  3. Step 3: Cross multiply
    221,149.38x = 305,090.04 × 140,533.74
  4. Step 4: Simplify right side
    221,149.38x = 42,875,444,357.95
  5. Step 5: Solve for x
    x = 42,875,444,357.95/221,149.38
  6. Step 6: Final answer
    x = 193,875.49

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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.