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Finding the Fourth Proportional to 270,905.70, 406,407.15 and 113,150.10

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Solution

The fourth proportional to 270,905.70, 406,407.15 and 113,150.10 is: 169,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,905.70 : 406,407.15 = 113,150.10 : x
  2. Step 2: Convert to fraction form
    270,905.70/406,407.15 = 113,150.10/x
  3. Step 3: Cross multiply
    270,905.70x = 406,407.15 × 113,150.10
  4. Step 4: Simplify right side
    270,905.70x = 45,985,009,663.22
  5. Step 5: Solve for x
    x = 45,985,009,663.22/270,905.70
  6. Step 6: Final answer
    x = 169,745.45

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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.