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Finding the Fourth Proportional to 102,202.98, 153,323.04 and 42,231.60

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Solution

The fourth proportional to 102,202.98, 153,323.04 and 42,231.60 is: 63,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202.98 : 153,323.04 = 42,231.60 : x
  2. Step 2: Convert to fraction form
    102,202.98/153,323.04 = 42,231.60/x
  3. Step 3: Cross multiply
    102,202.98x = 153,323.04 × 42,231.60
  4. Step 4: Simplify right side
    102,202.98x = 6,475,077,296.06
  5. Step 5: Solve for x
    x = 6,475,077,296.06/102,202.98
  6. Step 6: Final answer
    x = 63,355.07

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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.