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Finding the Fourth Proportional to 176,705.40, 264,960.90 and 76,848.60

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Solution

The fourth proportional to 176,705.40, 264,960.90 and 76,848.60 is: 115,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,705.40 : 264,960.90 = 76,848.60 : x
  2. Step 2: Convert to fraction form
    176,705.40/264,960.90 = 76,848.60/x
  3. Step 3: Cross multiply
    176,705.40x = 264,960.90 × 76,848.60
  4. Step 4: Simplify right side
    176,705.40x = 20,361,874,219.74
  5. Step 5: Solve for x
    x = 20,361,874,219.74/176,705.40
  6. Step 6: Final answer
    x = 115,230.63

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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.