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Finding the Fourth Proportional to 212,576.32, 293,341.84 and 117,083

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Solution

The fourth proportional to 212,576.32, 293,341.84 and 117,083 is: 161,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,576.32 : 293,341.84 = 117,083 : x
  2. Step 2: Convert to fraction form
    212,576.32/293,341.84 = 117,083/x
  3. Step 3: Cross multiply
    212,576.32x = 293,341.84 × 117,083
  4. Step 4: Simplify right side
    212,576.32x = 34,345,342,652.72
  5. Step 5: Solve for x
    x = 34,345,342,652.72/212,576.32
  6. Step 6: Final answer
    x = 161,567.11

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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.