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Finding the Fourth Proportional to 102,050.70, 153,003.15 and 45,844.80

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Solution

The fourth proportional to 102,050.70, 153,003.15 and 45,844.80 is: 68,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,050.70 : 153,003.15 = 45,844.80 : x
  2. Step 2: Convert to fraction form
    102,050.70/153,003.15 = 45,844.80/x
  3. Step 3: Cross multiply
    102,050.70x = 153,003.15 × 45,844.80
  4. Step 4: Simplify right side
    102,050.70x = 7,014,398,811.12
  5. Step 5: Solve for x
    x = 7,014,398,811.12/102,050.70
  6. Step 6: Final answer
    x = 68,734.45

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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.