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Finding the Fourth Proportional to 254,051.81, 350,566.23 and 146,656.44

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Solution

The fourth proportional to 254,051.81, 350,566.23 and 146,656.44 is: 202,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,051.81 : 350,566.23 = 146,656.44 : x
  2. Step 2: Convert to fraction form
    254,051.81/350,566.23 = 146,656.44/x
  3. Step 3: Cross multiply
    254,051.81x = 350,566.23 × 146,656.44
  4. Step 4: Simplify right side
    254,051.81x = 51,412,792,789.91
  5. Step 5: Solve for x
    x = 51,412,792,789.91/254,051.81
  6. Step 6: Final answer
    x = 202,371.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.