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Finding the Fourth Proportional to 207,829.60, 311,744.40 and 74,714.20

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Solution

The fourth proportional to 207,829.60, 311,744.40 and 74,714.20 is: 112,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,829.60 : 311,744.40 = 74,714.20 : x
  2. Step 2: Convert to fraction form
    207,829.60/311,744.40 = 74,714.20/x
  3. Step 3: Cross multiply
    207,829.60x = 311,744.40 × 74,714.20
  4. Step 4: Simplify right side
    207,829.60x = 23,291,733,450.48
  5. Step 5: Solve for x
    x = 23,291,733,450.48/207,829.60
  6. Step 6: Final answer
    x = 112,071.30

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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.