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Finding the Fourth Proportional to 272,533.72, 376,009.02 and 165,069.40

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Solution

The fourth proportional to 272,533.72, 376,009.02 and 165,069.40 is: 227,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,533.72 : 376,009.02 = 165,069.40 : x
  2. Step 2: Convert to fraction form
    272,533.72/376,009.02 = 165,069.40/x
  3. Step 3: Cross multiply
    272,533.72x = 376,009.02 × 165,069.40
  4. Step 4: Simplify right side
    272,533.72x = 62,067,583,325.99
  5. Step 5: Solve for x
    x = 62,067,583,325.99/272,533.72
  6. Step 6: Final answer
    x = 227,742.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.