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Finding the Fourth Proportional to 216,744.72, 299,050.08 and 148,782.48

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Solution

The fourth proportional to 216,744.72, 299,050.08 and 148,782.48 is: 205,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,744.72 : 299,050.08 = 148,782.48 : x
  2. Step 2: Convert to fraction form
    216,744.72/299,050.08 = 148,782.48/x
  3. Step 3: Cross multiply
    216,744.72x = 299,050.08 × 148,782.48
  4. Step 4: Simplify right side
    216,744.72x = 44,493,412,546.60
  5. Step 5: Solve for x
    x = 44,493,412,546.60/216,744.72
  6. Step 6: Final answer
    x = 205,280.26

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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.