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Finding the Fourth Proportional to 102,090.45, 153,154.98 and 33,705.87

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Solution

The fourth proportional to 102,090.45, 153,154.98 and 33,705.87 is: 50,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090.45 : 153,154.98 = 33,705.87 : x
  2. Step 2: Convert to fraction form
    102,090.45/153,154.98 = 33,705.87/x
  3. Step 3: Cross multiply
    102,090.45x = 153,154.98 × 33,705.87
  4. Step 4: Simplify right side
    102,090.45x = 5,162,221,845.73
  5. Step 5: Solve for x
    x = 5,162,221,845.73/102,090.45
  6. Step 6: Final answer
    x = 50,565.18

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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.