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Finding the Fourth Proportional to 253,642.64, 350,026.16 and 146,212.08

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Solution

The fourth proportional to 253,642.64, 350,026.16 and 146,212.08 is: 201,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,642.64 : 350,026.16 = 146,212.08 : x
  2. Step 2: Convert to fraction form
    253,642.64/350,026.16 = 146,212.08/x
  3. Step 3: Cross multiply
    253,642.64x = 350,026.16 × 146,212.08
  4. Step 4: Simplify right side
    253,642.64x = 51,178,052,908.01
  5. Step 5: Solve for x
    x = 51,178,052,908.01/253,642.64
  6. Step 6: Final answer
    x = 201,772.28

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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.