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Finding the Fourth Proportional to 202,714.47, 279,721.65 and 112,058.15

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Solution

The fourth proportional to 202,714.47, 279,721.65 and 112,058.15 is: 154,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,714.47 : 279,721.65 = 112,058.15 : x
  2. Step 2: Convert to fraction form
    202,714.47/279,721.65 = 112,058.15/x
  3. Step 3: Cross multiply
    202,714.47x = 279,721.65 × 112,058.15
  4. Step 4: Simplify right side
    202,714.47x = 31,345,089,914.64
  5. Step 5: Solve for x
    x = 31,345,089,914.64/202,714.47
  6. Step 6: Final answer
    x = 154,626.80

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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.