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Finding the Fourth Proportional to 213,643.58, 294,817.13 and 116,828.58

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Solution

The fourth proportional to 213,643.58, 294,817.13 and 116,828.58 is: 161,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,643.58 : 294,817.13 = 116,828.58 : x
  2. Step 2: Convert to fraction form
    213,643.58/294,817.13 = 116,828.58/x
  3. Step 3: Cross multiply
    213,643.58x = 294,817.13 × 116,828.58
  4. Step 4: Simplify right side
    213,643.58x = 34,443,067,617.10
  5. Step 5: Solve for x
    x = 34,443,067,617.10/213,643.58
  6. Step 6: Final answer
    x = 161,217.43

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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.