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Finding the Fourth Proportional to 270,185.86, 405,060.15 and 112,532.74

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Solution

The fourth proportional to 270,185.86, 405,060.15 and 112,532.74 is: 168,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,185.86 : 405,060.15 = 112,532.74 : x
  2. Step 2: Convert to fraction form
    270,185.86/405,060.15 = 112,532.74/x
  3. Step 3: Cross multiply
    270,185.86x = 405,060.15 × 112,532.74
  4. Step 4: Simplify right side
    270,185.86x = 45,582,528,544.31
  5. Step 5: Solve for x
    x = 45,582,528,544.31/270,185.86
  6. Step 6: Final answer
    x = 168,708.05

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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.