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Finding the Fourth Proportional to 270,187.34, 405,196.77 and 101,731.10

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Solution

The fourth proportional to 270,187.34, 405,196.77 and 101,731.10 is: 152,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,187.34 : 405,196.77 = 101,731.10 : x
  2. Step 2: Convert to fraction form
    270,187.34/405,196.77 = 101,731.10/x
  3. Step 3: Cross multiply
    270,187.34x = 405,196.77 × 101,731.10
  4. Step 4: Simplify right side
    270,187.34x = 41,221,113,128.55
  5. Step 5: Solve for x
    x = 41,221,113,128.55/270,187.34
  6. Step 6: Final answer
    x = 152,564.93

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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.