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Finding the Fourth Proportional to 229,466.42, 316,408.38 and 156,881.14

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Solution

The fourth proportional to 229,466.42, 316,408.38 and 156,881.14 is: 216,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,466.42 : 316,408.38 = 156,881.14 : x
  2. Step 2: Convert to fraction form
    229,466.42/316,408.38 = 156,881.14/x
  3. Step 3: Cross multiply
    229,466.42x = 316,408.38 × 156,881.14
  4. Step 4: Simplify right side
    229,466.42x = 49,638,505,980.63
  5. Step 5: Solve for x
    x = 49,638,505,980.63/229,466.42
  6. Step 6: Final answer
    x = 216,321.44

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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.