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Finding the Fourth Proportional to 229,610.34, 344,440.53 and 77,916.96

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Solution

The fourth proportional to 229,610.34, 344,440.53 and 77,916.96 is: 116,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,610.34 : 344,440.53 = 77,916.96 : x
  2. Step 2: Convert to fraction form
    229,610.34/344,440.53 = 77,916.96/x
  3. Step 3: Cross multiply
    229,610.34x = 344,440.53 × 77,916.96
  4. Step 4: Simplify right side
    229,610.34x = 26,837,758,998.39
  5. Step 5: Solve for x
    x = 26,837,758,998.39/229,610.34
  6. Step 6: Final answer
    x = 116,883.93

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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.