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Finding the Fourth Proportional to 253,530.08, 380,266.32 and 66,556.16

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Solution

The fourth proportional to 253,530.08, 380,266.32 and 66,556.16 is: 99,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,530.08 : 380,266.32 = 66,556.16 : x
  2. Step 2: Convert to fraction form
    253,530.08/380,266.32 = 66,556.16/x
  3. Step 3: Cross multiply
    253,530.08x = 380,266.32 × 66,556.16
  4. Step 4: Simplify right side
    253,530.08x = 25,309,066,036.53
  5. Step 5: Solve for x
    x = 25,309,066,036.53/253,530.08
  6. Step 6: Final answer
    x = 99,826.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.