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Finding the Fourth Proportional to 180,702.44, 249,410.98 and 120,275.48

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Solution

The fourth proportional to 180,702.44, 249,410.98 and 120,275.48 is: 166,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702.44 : 249,410.98 = 120,275.48 : x
  2. Step 2: Convert to fraction form
    180,702.44/249,410.98 = 120,275.48/x
  3. Step 3: Cross multiply
    180,702.44x = 249,410.98 × 120,275.48
  4. Step 4: Simplify right side
    180,702.44x = 29,998,025,336.77
  5. Step 5: Solve for x
    x = 29,998,025,336.77/180,702.44
  6. Step 6: Final answer
    x = 166,007.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.