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Finding the Fourth Proportional to 295,291.39, 407,496.44 and 161,156.35

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Solution

The fourth proportional to 295,291.39, 407,496.44 and 161,156.35 is: 222,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,291.39 : 407,496.44 = 161,156.35 : x
  2. Step 2: Convert to fraction form
    295,291.39/407,496.44 = 161,156.35/x
  3. Step 3: Cross multiply
    295,291.39x = 407,496.44 × 161,156.35
  4. Step 4: Simplify right side
    295,291.39x = 65,670,638,102.61
  5. Step 5: Solve for x
    x = 65,670,638,102.61/295,291.39
  6. Step 6: Final answer
    x = 222,392.66

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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.