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Finding the Fourth Proportional to 134,714.80, 202,072.20 and 113,978.80

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Solution

The fourth proportional to 134,714.80, 202,072.20 and 113,978.80 is: 170,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,714.80 : 202,072.20 = 113,978.80 : x
  2. Step 2: Convert to fraction form
    134,714.80/202,072.20 = 113,978.80/x
  3. Step 3: Cross multiply
    134,714.80x = 202,072.20 × 113,978.80
  4. Step 4: Simplify right side
    134,714.80x = 23,031,946,869.36
  5. Step 5: Solve for x
    x = 23,031,946,869.36/134,714.80
  6. Step 6: Final answer
    x = 170,968.20

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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.