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Finding the Fourth Proportional to 299,706.66, 413,166.15 and 184,908.60

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Solution

The fourth proportional to 299,706.66, 413,166.15 and 184,908.60 is: 254,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706.66 : 413,166.15 = 184,908.60 : x
  2. Step 2: Convert to fraction form
    299,706.66/413,166.15 = 184,908.60/x
  3. Step 3: Cross multiply
    299,706.66x = 413,166.15 × 184,908.60
  4. Step 4: Simplify right side
    299,706.66x = 76,397,974,363.89
  5. Step 5: Solve for x
    x = 76,397,974,363.89/299,706.66
  6. Step 6: Final answer
    x = 254,909.16

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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.