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Finding the Fourth Proportional to 153,846, 230,777.64 and 43,046.64

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Solution

The fourth proportional to 153,846, 230,777.64 and 43,046.64 is: 64,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846 : 230,777.64 = 43,046.64 : x
  2. Step 2: Convert to fraction form
    153,846/230,777.64 = 43,046.64/x
  3. Step 3: Cross multiply
    153,846x = 230,777.64 × 43,046.64
  4. Step 4: Simplify right side
    153,846x = 9,934,201,989.13
  5. Step 5: Solve for x
    x = 9,934,201,989.13/153,846
  6. Step 6: Final answer
    x = 64,572.38

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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.