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Finding the Fourth Proportional to 212,041.84, 292,611.96 and 116,548.56

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Solution

The fourth proportional to 212,041.84, 292,611.96 and 116,548.56 is: 160,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,041.84 : 292,611.96 = 116,548.56 : x
  2. Step 2: Convert to fraction form
    212,041.84/292,611.96 = 116,548.56/x
  3. Step 3: Cross multiply
    212,041.84x = 292,611.96 × 116,548.56
  4. Step 4: Simplify right side
    212,041.84x = 34,103,502,576.78
  5. Step 5: Solve for x
    x = 34,103,502,576.78/212,041.84
  6. Step 6: Final answer
    x = 160,833.84

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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.