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Finding the Fourth Proportional to 212,005.69, 292,579.02 and 120,142.78

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Solution

The fourth proportional to 212,005.69, 292,579.02 and 120,142.78 is: 165,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,005.69 : 292,579.02 = 120,142.78 : x
  2. Step 2: Convert to fraction form
    212,005.69/292,579.02 = 120,142.78/x
  3. Step 3: Cross multiply
    212,005.69x = 292,579.02 × 120,142.78
  4. Step 4: Simplify right side
    212,005.69x = 35,151,256,101.03
  5. Step 5: Solve for x
    x = 35,151,256,101.03/212,005.69
  6. Step 6: Final answer
    x = 165,803.36

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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.