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Finding the Fourth Proportional to 180,785.64, 249,457.96 and 100,213.14

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Solution

The fourth proportional to 180,785.64, 249,457.96 and 100,213.14 is: 138,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,785.64 : 249,457.96 = 100,213.14 : x
  2. Step 2: Convert to fraction form
    180,785.64/249,457.96 = 100,213.14/x
  3. Step 3: Cross multiply
    180,785.64x = 249,457.96 × 100,213.14
  4. Step 4: Simplify right side
    180,785.64x = 24,998,965,469.59
  5. Step 5: Solve for x
    x = 24,998,965,469.59/180,785.64
  6. Step 6: Final answer
    x = 138,279.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.