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Finding the Fourth Proportional to 307,756, 461,693.85 and 118,202.50

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Solution

The fourth proportional to 307,756, 461,693.85 and 118,202.50 is: 177,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,756 : 461,693.85 = 118,202.50 : x
  2. Step 2: Convert to fraction form
    307,756/461,693.85 = 118,202.50/x
  3. Step 3: Cross multiply
    307,756x = 461,693.85 × 118,202.50
  4. Step 4: Simplify right side
    307,756x = 54,573,367,304.63
  5. Step 5: Solve for x
    x = 54,573,367,304.63/307,756
  6. Step 6: Final answer
    x = 177,326.74

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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.