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Finding the Fourth Proportional to 180,693.40, 249,353.24 and 100,120.68

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Solution

The fourth proportional to 180,693.40, 249,353.24 and 100,120.68 is: 138,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,693.40 : 249,353.24 = 100,120.68 : x
  2. Step 2: Convert to fraction form
    180,693.40/249,353.24 = 100,120.68/x
  3. Step 3: Cross multiply
    180,693.40x = 249,353.24 × 100,120.68
  4. Step 4: Simplify right side
    180,693.40x = 24,965,415,949.00
  5. Step 5: Solve for x
    x = 24,965,415,949.00/180,693.40
  6. Step 6: Final answer
    x = 138,164.51

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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.