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Finding the Fourth Proportional to 120,883.50, 181,331.73 and 37,783.98

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Solution

The fourth proportional to 120,883.50, 181,331.73 and 37,783.98 is: 56,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883.50 : 181,331.73 = 37,783.98 : x
  2. Step 2: Convert to fraction form
    120,883.50/181,331.73 = 37,783.98/x
  3. Step 3: Cross multiply
    120,883.50x = 181,331.73 × 37,783.98
  4. Step 4: Simplify right side
    120,883.50x = 6,851,434,459.69
  5. Step 5: Solve for x
    x = 6,851,434,459.69/120,883.50
  6. Step 6: Final answer
    x = 56,678.00

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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.