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Finding the Fourth Proportional to 212,272.24, 292,814.04 and 132,646

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Solution

The fourth proportional to 212,272.24, 292,814.04 and 132,646 is: 182,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,272.24 : 292,814.04 = 132,646 : x
  2. Step 2: Convert to fraction form
    212,272.24/292,814.04 = 132,646/x
  3. Step 3: Cross multiply
    212,272.24x = 292,814.04 × 132,646
  4. Step 4: Simplify right side
    212,272.24x = 38,840,611,149.84
  5. Step 5: Solve for x
    x = 38,840,611,149.84/212,272.24
  6. Step 6: Final answer
    x = 182,975.46

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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.