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Finding the Fourth Proportional to 180,460.89, 270,705.90 and 55,801.89

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Solution

The fourth proportional to 180,460.89, 270,705.90 and 55,801.89 is: 83,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460.89 : 270,705.90 = 55,801.89 : x
  2. Step 2: Convert to fraction form
    180,460.89/270,705.90 = 55,801.89/x
  3. Step 3: Cross multiply
    180,460.89x = 270,705.90 × 55,801.89
  4. Step 4: Simplify right side
    180,460.89x = 15,105,900,854.15
  5. Step 5: Solve for x
    x = 15,105,900,854.15/180,460.89
  6. Step 6: Final answer
    x = 83,707.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.