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Finding the Fourth Proportional to 102,205.98, 153,327.54 and 42,234.60

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Solution

The fourth proportional to 102,205.98, 153,327.54 and 42,234.60 is: 63,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.98 : 153,327.54 = 42,234.60 : x
  2. Step 2: Convert to fraction form
    102,205.98/153,327.54 = 42,234.60/x
  3. Step 3: Cross multiply
    102,205.98x = 153,327.54 × 42,234.60
  4. Step 4: Simplify right side
    102,205.98x = 6,475,727,320.88
  5. Step 5: Solve for x
    x = 6,475,727,320.88/102,205.98
  6. Step 6: Final answer
    x = 63,359.57

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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.