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Finding the Fourth Proportional to 213,038.01, 294,098.97 and 132,491.48

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Solution

The fourth proportional to 213,038.01, 294,098.97 and 132,491.48 is: 182,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,038.01 : 294,098.97 = 132,491.48 : x
  2. Step 2: Convert to fraction form
    213,038.01/294,098.97 = 132,491.48/x
  3. Step 3: Cross multiply
    213,038.01x = 294,098.97 × 132,491.48
  4. Step 4: Simplify right side
    213,038.01x = 38,965,609,033.87
  5. Step 5: Solve for x
    x = 38,965,609,033.87/213,038.01
  6. Step 6: Final answer
    x = 182,904.50

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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.