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Finding the Fourth Proportional to 254,298.96, 350,996.22 and 146,931.30

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Solution

The fourth proportional to 254,298.96, 350,996.22 and 146,931.30 is: 202,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,298.96 : 350,996.22 = 146,931.30 : x
  2. Step 2: Convert to fraction form
    254,298.96/350,996.22 = 146,931.30/x
  3. Step 3: Cross multiply
    254,298.96x = 350,996.22 × 146,931.30
  4. Step 4: Simplify right side
    254,298.96x = 51,572,330,899.69
  5. Step 5: Solve for x
    x = 51,572,330,899.69/254,298.96
  6. Step 6: Final answer
    x = 202,801.97

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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.