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Finding the Fourth Proportional to 334,678.16, 501,910.68 and 109,986.68

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Solution

The fourth proportional to 334,678.16, 501,910.68 and 109,986.68 is: 164,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,678.16 : 501,910.68 = 109,986.68 : x
  2. Step 2: Convert to fraction form
    334,678.16/501,910.68 = 109,986.68/x
  3. Step 3: Cross multiply
    334,678.16x = 501,910.68 × 109,986.68
  4. Step 4: Simplify right side
    334,678.16x = 55,203,489,349.74
  5. Step 5: Solve for x
    x = 55,203,489,349.74/334,678.16
  6. Step 6: Final answer
    x = 164,945.00

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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.