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Finding the Fourth Proportional to 143,441.70, 197,935.70 and 83,000.31

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Solution

The fourth proportional to 143,441.70, 197,935.70 and 83,000.31 is: 114,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,441.70 : 197,935.70 = 83,000.31 : x
  2. Step 2: Convert to fraction form
    143,441.70/197,935.70 = 83,000.31/x
  3. Step 3: Cross multiply
    143,441.70x = 197,935.70 × 83,000.31
  4. Step 4: Simplify right side
    143,441.70x = 16,428,724,045.07
  5. Step 5: Solve for x
    x = 16,428,724,045.07/143,441.70
  6. Step 6: Final answer
    x = 114,532.41

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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.