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Finding the Fourth Proportional to 180,807.68, 249,539.96 and 111,919.23

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Solution

The fourth proportional to 180,807.68, 249,539.96 and 111,919.23 is: 154,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,807.68 : 249,539.96 = 111,919.23 : x
  2. Step 2: Convert to fraction form
    180,807.68/249,539.96 = 111,919.23/x
  3. Step 3: Cross multiply
    180,807.68x = 249,539.96 × 111,919.23
  4. Step 4: Simplify right side
    180,807.68x = 27,928,320,177.43
  5. Step 5: Solve for x
    x = 27,928,320,177.43/180,807.68
  6. Step 6: Final answer
    x = 154,464.24

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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.