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Finding the Fourth Proportional to 180,680.63, 249,345.81 and 109,046.66

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Solution

The fourth proportional to 180,680.63, 249,345.81 and 109,046.66 is: 150,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,680.63 : 249,345.81 = 109,046.66 : x
  2. Step 2: Convert to fraction form
    180,680.63/249,345.81 = 109,046.66/x
  3. Step 3: Cross multiply
    180,680.63x = 249,345.81 × 109,046.66
  4. Step 4: Simplify right side
    180,680.63x = 27,190,326,518.77
  5. Step 5: Solve for x
    x = 27,190,326,518.77/180,680.63
  6. Step 6: Final answer
    x = 150,488.34

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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.