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Finding the Fourth Proportional to 213,462.84, 294,576.30 and 117,969.51

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Solution

The fourth proportional to 213,462.84, 294,576.30 and 117,969.51 is: 162,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,462.84 : 294,576.30 = 117,969.51 : x
  2. Step 2: Convert to fraction form
    213,462.84/294,576.30 = 117,969.51/x
  3. Step 3: Cross multiply
    213,462.84x = 294,576.30 × 117,969.51
  4. Step 4: Simplify right side
    213,462.84x = 34,751,021,768.61
  5. Step 5: Solve for x
    x = 34,751,021,768.61/213,462.84
  6. Step 6: Final answer
    x = 162,796.59

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1.5x scale

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.