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Finding the Fourth Proportional to 180,761.64, 249,565.32 and 116,260.80

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Solution

The fourth proportional to 180,761.64, 249,565.32 and 116,260.80 is: 160,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,761.64 : 249,565.32 = 116,260.80 : x
  2. Step 2: Convert to fraction form
    180,761.64/249,565.32 = 116,260.80/x
  3. Step 3: Cross multiply
    180,761.64x = 249,565.32 × 116,260.80
  4. Step 4: Simplify right side
    180,761.64x = 29,014,663,755.46
  5. Step 5: Solve for x
    x = 29,014,663,755.46/180,761.64
  6. Step 6: Final answer
    x = 160,513.39

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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.