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Finding the Fourth Proportional to 106,776.48, 160,261.74 and 56,899.20

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Solution

The fourth proportional to 106,776.48, 160,261.74 and 56,899.20 is: 85,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,776.48 : 160,261.74 = 56,899.20 : x
  2. Step 2: Convert to fraction form
    106,776.48/160,261.74 = 56,899.20/x
  3. Step 3: Cross multiply
    106,776.48x = 160,261.74 × 56,899.20
  4. Step 4: Simplify right side
    106,776.48x = 9,118,764,796.61
  5. Step 5: Solve for x
    x = 9,118,764,796.61/106,776.48
  6. Step 6: Final answer
    x = 85,400.50

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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.