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Finding the Fourth Proportional to 230,042.02, 344,564 and 111,464.68

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Solution

The fourth proportional to 230,042.02, 344,564 and 111,464.68 is: 166,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,042.02 : 344,564 = 111,464.68 : x
  2. Step 2: Convert to fraction form
    230,042.02/344,564 = 111,464.68/x
  3. Step 3: Cross multiply
    230,042.02x = 344,564 × 111,464.68
  4. Step 4: Simplify right side
    230,042.02x = 38,406,715,999.52
  5. Step 5: Solve for x
    x = 38,406,715,999.52/230,042.02
  6. Step 6: Final answer
    x = 166,955.22

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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.