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Finding the Fourth Proportional to 213,018.46, 293,952.11 and 117,525.80

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Solution

The fourth proportional to 213,018.46, 293,952.11 and 117,525.80 is: 162,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,018.46 : 293,952.11 = 117,525.80 : x
  2. Step 2: Convert to fraction form
    213,018.46/293,952.11 = 117,525.80/x
  3. Step 3: Cross multiply
    213,018.46x = 293,952.11 × 117,525.80
  4. Step 4: Simplify right side
    213,018.46x = 34,546,957,036.69
  5. Step 5: Solve for x
    x = 34,546,957,036.69/213,018.46
  6. Step 6: Final answer
    x = 162,178.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.