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Finding the Fourth Proportional to 205,368.20, 308,052.30 and 116,894.60

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Solution

The fourth proportional to 205,368.20, 308,052.30 and 116,894.60 is: 175,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.20 : 308,052.30 = 116,894.60 : x
  2. Step 2: Convert to fraction form
    205,368.20/308,052.30 = 116,894.60/x
  3. Step 3: Cross multiply
    205,368.20x = 308,052.30 × 116,894.60
  4. Step 4: Simplify right side
    205,368.20x = 36,009,650,387.58
  5. Step 5: Solve for x
    x = 36,009,650,387.58/205,368.20
  6. Step 6: Final answer
    x = 175,341.90

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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.