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Finding the Fourth Proportional to 240,714.51, 361,106.97 and 72,248.16

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Solution

The fourth proportional to 240,714.51, 361,106.97 and 72,248.16 is: 108,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,714.51 : 361,106.97 = 72,248.16 : x
  2. Step 2: Convert to fraction form
    240,714.51/361,106.97 = 72,248.16/x
  3. Step 3: Cross multiply
    240,714.51x = 361,106.97 × 72,248.16
  4. Step 4: Simplify right side
    240,714.51x = 26,089,314,145.68
  5. Step 5: Solve for x
    x = 26,089,314,145.68/240,714.51
  6. Step 6: Final answer
    x = 108,382.81

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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.