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Finding the Fourth Proportional to 180,540.72, 249,176.52 and 105,133.68

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Solution

The fourth proportional to 180,540.72, 249,176.52 and 105,133.68 is: 145,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,540.72 : 249,176.52 = 105,133.68 : x
  2. Step 2: Convert to fraction form
    180,540.72/249,176.52 = 105,133.68/x
  3. Step 3: Cross multiply
    180,540.72x = 249,176.52 × 105,133.68
  4. Step 4: Simplify right side
    180,540.72x = 26,196,844,517.19
  5. Step 5: Solve for x
    x = 26,196,844,517.19/180,540.72
  6. Step 6: Final answer
    x = 145,102.14

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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.