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Finding the Fourth Proportional to 212,352.14, 293,053.74 and 116,866.10

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Solution

The fourth proportional to 212,352.14, 293,053.74 and 116,866.10 is: 161,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,352.14 : 293,053.74 = 116,866.10 : x
  2. Step 2: Convert to fraction form
    212,352.14/293,053.74 = 116,866.10/x
  3. Step 3: Cross multiply
    212,352.14x = 293,053.74 × 116,866.10
  4. Step 4: Simplify right side
    212,352.14x = 34,248,047,684.21
  5. Step 5: Solve for x
    x = 34,248,047,684.21/212,352.14
  6. Step 6: Final answer
    x = 161,279.50

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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.