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Finding the Fourth Proportional to 253,637.49, 349,940.10 and 146,192.61

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Solution

The fourth proportional to 253,637.49, 349,940.10 and 146,192.61 is: 201,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,637.49 : 349,940.10 = 146,192.61 : x
  2. Step 2: Convert to fraction form
    253,637.49/349,940.10 = 146,192.61/x
  3. Step 3: Cross multiply
    253,637.49x = 349,940.10 × 146,192.61
  4. Step 4: Simplify right side
    253,637.49x = 51,158,657,600.83
  5. Step 5: Solve for x
    x = 51,158,657,600.83/253,637.49
  6. Step 6: Final answer
    x = 201,699.90

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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.