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Finding the Fourth Proportional to 254,336.16, 350,902.72 and 146,892

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Solution

The fourth proportional to 254,336.16, 350,902.72 and 146,892 is: 202,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,336.16 : 350,902.72 = 146,892 : x
  2. Step 2: Convert to fraction form
    254,336.16/350,902.72 = 146,892/x
  3. Step 3: Cross multiply
    254,336.16x = 350,902.72 × 146,892
  4. Step 4: Simplify right side
    254,336.16x = 51,544,802,346.24
  5. Step 5: Solve for x
    x = 51,544,802,346.24/254,336.16
  6. Step 6: Final answer
    x = 202,664.07

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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.