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Finding the Fourth Proportional to 143,004.84, 197,332.11 and 82,594.77

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Solution

The fourth proportional to 143,004.84, 197,332.11 and 82,594.77 is: 113,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,004.84 : 197,332.11 = 82,594.77 : x
  2. Step 2: Convert to fraction form
    143,004.84/197,332.11 = 82,594.77/x
  3. Step 3: Cross multiply
    143,004.84x = 197,332.11 × 82,594.77
  4. Step 4: Simplify right side
    143,004.84x = 16,298,600,239.06
  5. Step 5: Solve for x
    x = 16,298,600,239.06/143,004.84
  6. Step 6: Final answer
    x = 113,972.37

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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.