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Finding the Fourth Proportional to 230,230, 345,364.56 and 64,018

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Solution

The fourth proportional to 230,230, 345,364.56 and 64,018 is: 96,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,230 : 345,364.56 = 64,018 : x
  2. Step 2: Convert to fraction form
    230,230/345,364.56 = 64,018/x
  3. Step 3: Cross multiply
    230,230x = 345,364.56 × 64,018
  4. Step 4: Simplify right side
    230,230x = 22,109,548,402.08
  5. Step 5: Solve for x
    x = 22,109,548,402.08/230,230
  6. Step 6: Final answer
    x = 96,032.44

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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.