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Finding the Fourth Proportional to 176,706.17, 243,836.31 and 105,072.36

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Solution

The fourth proportional to 176,706.17, 243,836.31 and 105,072.36 is: 144,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,706.17 : 243,836.31 = 105,072.36 : x
  2. Step 2: Convert to fraction form
    176,706.17/243,836.31 = 105,072.36/x
  3. Step 3: Cross multiply
    176,706.17x = 243,836.31 × 105,072.36
  4. Step 4: Simplify right side
    176,706.17x = 25,620,456,545.39
  5. Step 5: Solve for x
    x = 25,620,456,545.39/176,706.17
  6. Step 6: Final answer
    x = 144,989.03

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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.