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Finding the Fourth Proportional to 212,019.24, 292,464.72 and 132,393

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Solution

The fourth proportional to 212,019.24, 292,464.72 and 132,393 is: 182,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,019.24 : 292,464.72 = 132,393 : x
  2. Step 2: Convert to fraction form
    212,019.24/292,464.72 = 132,393/x
  3. Step 3: Cross multiply
    212,019.24x = 292,464.72 × 132,393
  4. Step 4: Simplify right side
    212,019.24x = 38,720,281,674.96
  5. Step 5: Solve for x
    x = 38,720,281,674.96/212,019.24
  6. Step 6: Final answer
    x = 182,626.26

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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.