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Finding the Fourth Proportional to 253,502.40, 380,233.80 and 66,509.04

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Solution

The fourth proportional to 253,502.40, 380,233.80 and 66,509.04 is: 99,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,502.40 : 380,233.80 = 66,509.04 : x
  2. Step 2: Convert to fraction form
    253,502.40/380,233.80 = 66,509.04/x
  3. Step 3: Cross multiply
    253,502.40x = 380,233.80 × 66,509.04
  4. Step 4: Simplify right side
    253,502.40x = 25,288,985,013.55
  5. Step 5: Solve for x
    x = 25,288,985,013.55/253,502.40
  6. Step 6: Final answer
    x = 99,758.37

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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.