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Finding the Fourth Proportional to 189,581.32, 283,142.86 and 171,776.44

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Solution

The fourth proportional to 189,581.32, 283,142.86 and 171,776.44 is: 256,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,581.32 : 283,142.86 = 171,776.44 : x
  2. Step 2: Convert to fraction form
    189,581.32/283,142.86 = 171,776.44/x
  3. Step 3: Cross multiply
    189,581.32x = 283,142.86 × 171,776.44
  4. Step 4: Simplify right side
    189,581.32x = 48,637,272,502.22
  5. Step 5: Solve for x
    x = 48,637,272,502.22/189,581.32
  6. Step 6: Final answer
    x = 256,550.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.