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Finding the Fourth Proportional to 189,203.66, 260,829.76 and 148,847.34

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Solution

The fourth proportional to 189,203.66, 260,829.76 and 148,847.34 is: 205,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,203.66 : 260,829.76 = 148,847.34 : x
  2. Step 2: Convert to fraction form
    189,203.66/260,829.76 = 148,847.34/x
  3. Step 3: Cross multiply
    189,203.66x = 260,829.76 × 148,847.34
  4. Step 4: Simplify right side
    189,203.66x = 38,823,814,664.69
  5. Step 5: Solve for x
    x = 38,823,814,664.69/189,203.66
  6. Step 6: Final answer
    x = 205,195.89

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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.