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Finding the Fourth Proportional to 97,202.75, 145,786.62 and 69,008.23

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Solution

The fourth proportional to 97,202.75, 145,786.62 and 69,008.23 is: 103,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,202.75 : 145,786.62 = 69,008.23 : x
  2. Step 2: Convert to fraction form
    97,202.75/145,786.62 = 69,008.23/x
  3. Step 3: Cross multiply
    97,202.75x = 145,786.62 × 69,008.23
  4. Step 4: Simplify right side
    97,202.75x = 10,060,475,870.50
  5. Step 5: Solve for x
    x = 10,060,475,870.50/97,202.75
  6. Step 6: Final answer
    x = 103,499.91

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