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Finding the Fourth Proportional to 142,949, 197,140.50 and 89,238.98

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Solution

The fourth proportional to 142,949, 197,140.50 and 89,238.98 is: 123,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,949 : 197,140.50 = 89,238.98 : x
  2. Step 2: Convert to fraction form
    142,949/197,140.50 = 89,238.98/x
  3. Step 3: Cross multiply
    142,949x = 197,140.50 × 89,238.98
  4. Step 4: Simplify right side
    142,949x = 17,592,617,136.69
  5. Step 5: Solve for x
    x = 17,592,617,136.69/142,949
  6. Step 6: Final answer
    x = 123,069.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.