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Finding the Fourth Proportional to 262,246, 361,899.48 and 143,014

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Solution

The fourth proportional to 262,246, 361,899.48 and 143,014 is: 197,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,246 : 361,899.48 = 143,014 : x
  2. Step 2: Convert to fraction form
    262,246/361,899.48 = 143,014/x
  3. Step 3: Cross multiply
    262,246x = 361,899.48 × 143,014
  4. Step 4: Simplify right side
    262,246x = 51,756,692,232.72
  5. Step 5: Solve for x
    x = 51,756,692,232.72/262,246
  6. Step 6: Final answer
    x = 197,359.32

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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.