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Finding the Fourth Proportional to 213,090.65, 294,064.49 and 117,596.66

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Solution

The fourth proportional to 213,090.65, 294,064.49 and 117,596.66 is: 162,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.65 : 294,064.49 = 117,596.66 : x
  2. Step 2: Convert to fraction form
    213,090.65/294,064.49 = 117,596.66/x
  3. Step 3: Cross multiply
    213,090.65x = 294,064.49 × 117,596.66
  4. Step 4: Simplify right side
    213,090.65x = 34,581,001,848.60
  5. Step 5: Solve for x
    x = 34,581,001,848.60/213,090.65
  6. Step 6: Final answer
    x = 162,283.06

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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.