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Finding the Fourth Proportional to 128,385.24, 192,507.36 and 39,614.16

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Solution

The fourth proportional to 128,385.24, 192,507.36 and 39,614.16 is: 59,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,385.24 : 192,507.36 = 39,614.16 : x
  2. Step 2: Convert to fraction form
    128,385.24/192,507.36 = 39,614.16/x
  3. Step 3: Cross multiply
    128,385.24x = 192,507.36 × 39,614.16
  4. Step 4: Simplify right side
    128,385.24x = 7,626,017,360.22
  5. Step 5: Solve for x
    x = 7,626,017,360.22/128,385.24
  6. Step 6: Final answer
    x = 59,399.49

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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.