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Finding the Fourth Proportional to 126,184.64, 189,247.77 and 37,416.74

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Solution

The fourth proportional to 126,184.64, 189,247.77 and 37,416.74 is: 56,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,184.64 : 189,247.77 = 37,416.74 : x
  2. Step 2: Convert to fraction form
    126,184.64/189,247.77 = 37,416.74/x
  3. Step 3: Cross multiply
    126,184.64x = 189,247.77 × 37,416.74
  4. Step 4: Simplify right side
    126,184.64x = 7,081,033,659.43
  5. Step 5: Solve for x
    x = 7,081,033,659.43/126,184.64
  6. Step 6: Final answer
    x = 56,116.45

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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.