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Finding the Fourth Proportional to 265,465.41, 397,977.65 and 105,442.62

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Solution

The fourth proportional to 265,465.41, 397,977.65 and 105,442.62 is: 158,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,465.41 : 397,977.65 = 105,442.62 : x
  2. Step 2: Convert to fraction form
    265,465.41/397,977.65 = 105,442.62/x
  3. Step 3: Cross multiply
    265,465.41x = 397,977.65 × 105,442.62
  4. Step 4: Simplify right side
    265,465.41x = 41,963,806,117.44
  5. Step 5: Solve for x
    x = 41,963,806,117.44/265,465.41
  6. Step 6: Final answer
    x = 158,076.36

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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.