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Finding the Fourth Proportional to 270,577.86, 405,751.41 and 93,102.90

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Solution

The fourth proportional to 270,577.86, 405,751.41 and 93,102.90 is: 139,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,577.86 : 405,751.41 = 93,102.90 : x
  2. Step 2: Convert to fraction form
    270,577.86/405,751.41 = 93,102.90/x
  3. Step 3: Cross multiply
    270,577.86x = 405,751.41 × 93,102.90
  4. Step 4: Simplify right side
    270,577.86x = 37,776,632,950.09
  5. Step 5: Solve for x
    x = 37,776,632,950.09/270,577.86
  6. Step 6: Final answer
    x = 139,614.65

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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.