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Finding the Fourth Proportional to 180,874.98, 249,720.33 and 116,455.91

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Solution

The fourth proportional to 180,874.98, 249,720.33 and 116,455.91 is: 160,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874.98 : 249,720.33 = 116,455.91 : x
  2. Step 2: Convert to fraction form
    180,874.98/249,720.33 = 116,455.91/x
  3. Step 3: Cross multiply
    180,874.98x = 249,720.33 × 116,455.91
  4. Step 4: Simplify right side
    180,874.98x = 29,081,407,027.05
  5. Step 5: Solve for x
    x = 29,081,407,027.05/180,874.98
  6. Step 6: Final answer
    x = 160,781.81

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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.