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Finding the Fourth Proportional to 148,744.86, 205,347.87 and 114,678.96

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Solution

The fourth proportional to 148,744.86, 205,347.87 and 114,678.96 is: 158,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,744.86 : 205,347.87 = 114,678.96 : x
  2. Step 2: Convert to fraction form
    148,744.86/205,347.87 = 114,678.96/x
  3. Step 3: Cross multiply
    148,744.86x = 205,347.87 × 114,678.96
  4. Step 4: Simplify right side
    148,744.86x = 23,549,080,169.82
  5. Step 5: Solve for x
    x = 23,549,080,169.82/148,744.86
  6. Step 6: Final answer
    x = 158,318.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.