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Finding the Fourth Proportional to 212,568.14, 293,322.33 and 130,883.42

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Solution

The fourth proportional to 212,568.14, 293,322.33 and 130,883.42 is: 180,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,568.14 : 293,322.33 = 130,883.42 : x
  2. Step 2: Convert to fraction form
    212,568.14/293,322.33 = 130,883.42/x
  3. Step 3: Cross multiply
    212,568.14x = 293,322.33 × 130,883.42
  4. Step 4: Simplify right side
    212,568.14x = 38,391,030,446.07
  5. Step 5: Solve for x
    x = 38,391,030,446.07/212,568.14
  6. Step 6: Final answer
    x = 180,605.76

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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.