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Finding the Fourth Proportional to 270,829.35, 405,995.25 and 93,294.16

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Solution

The fourth proportional to 270,829.35, 405,995.25 and 93,294.16 is: 139,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,829.35 : 405,995.25 = 93,294.16 : x
  2. Step 2: Convert to fraction form
    270,829.35/405,995.25 = 93,294.16/x
  3. Step 3: Cross multiply
    270,829.35x = 405,995.25 × 93,294.16
  4. Step 4: Simplify right side
    270,829.35x = 37,876,985,812.74
  5. Step 5: Solve for x
    x = 37,876,985,812.74/270,829.35
  6. Step 6: Final answer
    x = 139,855.54

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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.