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Finding the Fourth Proportional to 153,847, 230,779.14 and 43,047.64

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Solution

The fourth proportional to 153,847, 230,779.14 and 43,047.64 is: 64,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,847 : 230,779.14 = 43,047.64 : x
  2. Step 2: Convert to fraction form
    153,847/230,779.14 = 43,047.64/x
  3. Step 3: Cross multiply
    153,847x = 230,779.14 × 43,047.64
  4. Step 4: Simplify right side
    153,847x = 9,934,497,338.23
  5. Step 5: Solve for x
    x = 9,934,497,338.23/153,847
  6. Step 6: Final answer
    x = 64,573.88

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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.