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Finding the Fourth Proportional to 229,605.84, 344,433.78 and 77,912.46

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Solution

The fourth proportional to 229,605.84, 344,433.78 and 77,912.46 is: 116,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,605.84 : 344,433.78 = 77,912.46 : x
  2. Step 2: Convert to fraction form
    229,605.84/344,433.78 = 77,912.46/x
  3. Step 3: Cross multiply
    229,605.84x = 344,433.78 × 77,912.46
  4. Step 4: Simplify right side
    229,605.84x = 26,835,683,106.90
  5. Step 5: Solve for x
    x = 26,835,683,106.90/229,605.84
  6. Step 6: Final answer
    x = 116,877.18

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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.