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Finding the Fourth Proportional to 180,867.57, 249,309.60 and 142,565.00

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Solution

The fourth proportional to 180,867.57, 249,309.60 and 142,565.00 is: 196,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,867.57 : 249,309.60 = 142,565.00 : x
  2. Step 2: Convert to fraction form
    180,867.57/249,309.60 = 142,565.00/x
  3. Step 3: Cross multiply
    180,867.57x = 249,309.60 × 142,565.00
  4. Step 4: Simplify right side
    180,867.57x = 35,542,821,342.83
  5. Step 5: Solve for x
    x = 35,542,821,342.83/180,867.57
  6. Step 6: Final answer
    x = 196,512.96

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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.