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Finding the Fourth Proportional to 277,242.22, 382,593.80 and 156,383.14

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Solution

The fourth proportional to 277,242.22, 382,593.80 and 156,383.14 is: 215,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,242.22 : 382,593.80 = 156,383.14 : x
  2. Step 2: Convert to fraction form
    277,242.22/382,593.80 = 156,383.14/x
  3. Step 3: Cross multiply
    277,242.22x = 382,593.80 × 156,383.14
  4. Step 4: Simplify right side
    277,242.22x = 59,831,219,788.53
  5. Step 5: Solve for x
    x = 59,831,219,788.53/277,242.22
  6. Step 6: Final answer
    x = 215,808.47

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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.