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Finding the Fourth Proportional to 334,185.86, 501,078.51 and 106,383.08

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Solution

The fourth proportional to 334,185.86, 501,078.51 and 106,383.08 is: 159,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,185.86 : 501,078.51 = 106,383.08 : x
  2. Step 2: Convert to fraction form
    334,185.86/501,078.51 = 106,383.08/x
  3. Step 3: Cross multiply
    334,185.86x = 501,078.51 × 106,383.08
  4. Step 4: Simplify right side
    334,185.86x = 53,306,272,710.22
  5. Step 5: Solve for x
    x = 53,306,272,710.22/334,185.86
  6. Step 6: Final answer
    x = 159,510.86

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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.