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Finding the Fourth Proportional to 254,308.16, 350,864.16 and 146,864

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Solution

The fourth proportional to 254,308.16, 350,864.16 and 146,864 is: 202,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,308.16 : 350,864.16 = 146,864 : x
  2. Step 2: Convert to fraction form
    254,308.16/350,864.16 = 146,864/x
  3. Step 3: Cross multiply
    254,308.16x = 350,864.16 × 146,864
  4. Step 4: Simplify right side
    254,308.16x = 51,529,313,994.24
  5. Step 5: Solve for x
    x = 51,529,313,994.24/254,308.16
  6. Step 6: Final answer
    x = 202,625.48

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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.