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Finding the Fourth Proportional to 143,300.56, 197,739.06 and 82,862.08

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Solution

The fourth proportional to 143,300.56, 197,739.06 and 82,862.08 is: 114,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,300.56 : 197,739.06 = 82,862.08 : x
  2. Step 2: Convert to fraction form
    143,300.56/197,739.06 = 82,862.08/x
  3. Step 3: Cross multiply
    143,300.56x = 197,739.06 × 82,862.08
  4. Step 4: Simplify right side
    143,300.56x = 16,385,069,808.84
  5. Step 5: Solve for x
    x = 16,385,069,808.84/143,300.56
  6. Step 6: Final answer
    x = 114,340.58

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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.