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Finding the Fourth Proportional to 227,806.90, 341,710.35 and 109,708.90

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Solution

The fourth proportional to 227,806.90, 341,710.35 and 109,708.90 is: 164,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,806.90 : 341,710.35 = 109,708.90 : x
  2. Step 2: Convert to fraction form
    227,806.90/341,710.35 = 109,708.90/x
  3. Step 3: Cross multiply
    227,806.90x = 341,710.35 × 109,708.90
  4. Step 4: Simplify right side
    227,806.90x = 37,488,666,617.12
  5. Step 5: Solve for x
    x = 37,488,666,617.12/227,806.90
  6. Step 6: Final answer
    x = 164,563.35

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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.