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Finding the Fourth Proportional to 205,774.40, 308,661.60 and 117,200.90

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Solution

The fourth proportional to 205,774.40, 308,661.60 and 117,200.90 is: 175,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,774.40 : 308,661.60 = 117,200.90 : x
  2. Step 2: Convert to fraction form
    205,774.40/308,661.60 = 117,200.90/x
  3. Step 3: Cross multiply
    205,774.40x = 308,661.60 × 117,200.90
  4. Step 4: Simplify right side
    205,774.40x = 36,175,417,315.44
  5. Step 5: Solve for x
    x = 36,175,417,315.44/205,774.40
  6. Step 6: Final answer
    x = 175,801.35

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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.