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Finding the Fourth Proportional to 337,782.90, 506,388.19 and 148,099.51

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Solution

The fourth proportional to 337,782.90, 506,388.19 and 148,099.51 is: 222,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,782.90 : 506,388.19 = 148,099.51 : x
  2. Step 2: Convert to fraction form
    337,782.90/506,388.19 = 148,099.51/x
  3. Step 3: Cross multiply
    337,782.90x = 506,388.19 × 148,099.51
  4. Step 4: Simplify right side
    337,782.90x = 74,995,842,808.79
  5. Step 5: Solve for x
    x = 74,995,842,808.79/337,782.90
  6. Step 6: Final answer
    x = 222,023.80

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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.