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Finding the Fourth Proportional to 212,567.60, 293,345.16 and 117,077.60

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Solution

The fourth proportional to 212,567.60, 293,345.16 and 117,077.60 is: 161,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,567.60 : 293,345.16 = 117,077.60 : x
  2. Step 2: Convert to fraction form
    212,567.60/293,345.16 = 117,077.60/x
  3. Step 3: Cross multiply
    212,567.60x = 293,345.16 × 117,077.60
  4. Step 4: Simplify right side
    212,567.60x = 34,344,147,304.42
  5. Step 5: Solve for x
    x = 34,344,147,304.42/212,567.60
  6. Step 6: Final answer
    x = 161,568.12

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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.