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Finding the Fourth Proportional to 254,097.38, 350,608.02 and 146,628.20

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Solution

The fourth proportional to 254,097.38, 350,608.02 and 146,628.20 is: 202,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,097.38 : 350,608.02 = 146,628.20 : x
  2. Step 2: Convert to fraction form
    254,097.38/350,608.02 = 146,628.20/x
  3. Step 3: Cross multiply
    254,097.38x = 350,608.02 × 146,628.20
  4. Step 4: Simplify right side
    254,097.38x = 51,409,022,878.16
  5. Step 5: Solve for x
    x = 51,409,022,878.16/254,097.38
  6. Step 6: Final answer
    x = 202,320.16

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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.