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Finding the Fourth Proportional to 233,136, 349,763.04 and 66,924

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Solution

The fourth proportional to 233,136, 349,763.04 and 66,924 is: 100,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136 : 349,763.04 = 66,924 : x
  2. Step 2: Convert to fraction form
    233,136/349,763.04 = 66,924/x
  3. Step 3: Cross multiply
    233,136x = 349,763.04 × 66,924
  4. Step 4: Simplify right side
    233,136x = 23,407,541,688.96
  5. Step 5: Solve for x
    x = 23,407,541,688.96/233,136
  6. Step 6: Final answer
    x = 100,402.95

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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.