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Finding the Fourth Proportional to 180,714.41, 249,392.32 and 109,080.44

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Solution

The fourth proportional to 180,714.41, 249,392.32 and 109,080.44 is: 150,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,714.41 : 249,392.32 = 109,080.44 : x
  2. Step 2: Convert to fraction form
    180,714.41/249,392.32 = 109,080.44/x
  3. Step 3: Cross multiply
    180,714.41x = 249,392.32 × 109,080.44
  4. Step 4: Simplify right side
    180,714.41x = 27,203,823,413.78
  5. Step 5: Solve for x
    x = 27,203,823,413.78/180,714.41
  6. Step 6: Final answer
    x = 150,534.89

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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.