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Finding the Fourth Proportional to 205,891.60, 308,448.60 and 105,710.80

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Solution

The fourth proportional to 205,891.60, 308,448.60 and 105,710.80 is: 158,366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,891.60 : 308,448.60 = 105,710.80 : x
  2. Step 2: Convert to fraction form
    205,891.60/308,448.60 = 105,710.80/x
  3. Step 3: Cross multiply
    205,891.60x = 308,448.60 × 105,710.80
  4. Step 4: Simplify right side
    205,891.60x = 32,606,348,264.88
  5. Step 5: Solve for x
    x = 32,606,348,264.88/205,891.60
  6. Step 6: Final answer
    x = 158,366.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.