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Finding the Fourth Proportional to 233,136.84, 349,242.26 and 179,643.23

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Solution

The fourth proportional to 233,136.84, 349,242.26 and 179,643.23 is: 269,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136.84 : 349,242.26 = 179,643.23 : x
  2. Step 2: Convert to fraction form
    233,136.84/349,242.26 = 179,643.23/x
  3. Step 3: Cross multiply
    233,136.84x = 349,242.26 × 179,643.23
  4. Step 4: Simplify right side
    233,136.84x = 62,739,004,994.47
  5. Step 5: Solve for x
    x = 62,739,004,994.47/233,136.84
  6. Step 6: Final answer
    x = 269,108.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.