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Finding the Fourth Proportional to 102,314.14, 153,267.09 and 81,289.78

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Solution

The fourth proportional to 102,314.14, 153,267.09 and 81,289.78 is: 121,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,314.14 : 153,267.09 = 81,289.78 : x
  2. Step 2: Convert to fraction form
    102,314.14/153,267.09 = 81,289.78/x
  3. Step 3: Cross multiply
    102,314.14x = 153,267.09 × 81,289.78
  4. Step 4: Simplify right side
    102,314.14x = 12,459,048,027.34
  5. Step 5: Solve for x
    x = 12,459,048,027.34/102,314.14
  6. Step 6: Final answer
    x = 121,772.49

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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.