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Finding the Fourth Proportional to 254,052.14, 350,566.67 and 146,656.76

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Solution

The fourth proportional to 254,052.14, 350,566.67 and 146,656.76 is: 202,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,052.14 : 350,566.67 = 146,656.76 : x
  2. Step 2: Convert to fraction form
    254,052.14/350,566.67 = 146,656.76/x
  3. Step 3: Cross multiply
    254,052.14x = 350,566.67 × 146,656.76
  4. Step 4: Simplify right side
    254,052.14x = 51,412,970,600.00
  5. Step 5: Solve for x
    x = 51,412,970,600.00/254,052.14
  6. Step 6: Final answer
    x = 202,371.73

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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.