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Finding the Fourth Proportional to 265,631.58, 398,505.69 and 78,657.66

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Solution

The fourth proportional to 265,631.58, 398,505.69 and 78,657.66 is: 118,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,631.58 : 398,505.69 = 78,657.66 : x
  2. Step 2: Convert to fraction form
    265,631.58/398,505.69 = 78,657.66/x
  3. Step 3: Cross multiply
    265,631.58x = 398,505.69 × 78,657.66
  4. Step 4: Simplify right side
    265,631.58x = 31,345,525,072.09
  5. Step 5: Solve for x
    x = 31,345,525,072.09/265,631.58
  6. Step 6: Final answer
    x = 118,003.76

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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.