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Finding the Fourth Proportional to 137,027.80, 205,541.70 and 126,530.20

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Solution

The fourth proportional to 137,027.80, 205,541.70 and 126,530.20 is: 189,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027.80 : 205,541.70 = 126,530.20 : x
  2. Step 2: Convert to fraction form
    137,027.80/205,541.70 = 126,530.20/x
  3. Step 3: Cross multiply
    137,027.80x = 205,541.70 × 126,530.20
  4. Step 4: Simplify right side
    137,027.80x = 26,007,232,409.34
  5. Step 5: Solve for x
    x = 26,007,232,409.34/137,027.80
  6. Step 6: Final answer
    x = 189,795.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.