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Finding the Fourth Proportional to 213,010.72, 293,952.84 and 117,518.16

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Solution

The fourth proportional to 213,010.72, 293,952.84 and 117,518.16 is: 162,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,010.72 : 293,952.84 = 117,518.16 : x
  2. Step 2: Convert to fraction form
    213,010.72/293,952.84 = 117,518.16/x
  3. Step 3: Cross multiply
    213,010.72x = 293,952.84 × 117,518.16
  4. Step 4: Simplify right side
    213,010.72x = 34,544,796,883.57
  5. Step 5: Solve for x
    x = 34,544,796,883.57/213,010.72
  6. Step 6: Final answer
    x = 162,173.98

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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.