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Finding the Fourth Proportional to 270,676.56, 406,042.14 and 93,160.20

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Solution

The fourth proportional to 270,676.56, 406,042.14 and 93,160.20 is: 139,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,676.56 : 406,042.14 = 93,160.20 : x
  2. Step 2: Convert to fraction form
    270,676.56/406,042.14 = 93,160.20/x
  3. Step 3: Cross multiply
    270,676.56x = 406,042.14 × 93,160.20
  4. Step 4: Simplify right side
    270,676.56x = 37,826,966,970.83
  5. Step 5: Solve for x
    x = 37,826,966,970.83/270,676.56
  6. Step 6: Final answer
    x = 139,749.70

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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.