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Finding the Fourth Proportional to 253,607.97, 349,894.02 and 146,175.69

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Solution

The fourth proportional to 253,607.97, 349,894.02 and 146,175.69 is: 201,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,607.97 : 349,894.02 = 146,175.69 : x
  2. Step 2: Convert to fraction form
    253,607.97/349,894.02 = 146,175.69/x
  3. Step 3: Cross multiply
    253,607.97x = 349,894.02 × 146,175.69
  4. Step 4: Simplify right side
    253,607.97x = 51,145,999,800.37
  5. Step 5: Solve for x
    x = 51,145,999,800.37/253,607.97
  6. Step 6: Final answer
    x = 201,673.47

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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.