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Finding the Fourth Proportional to 209,428.60, 314,141.40 and 84,767.80

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Solution

The fourth proportional to 209,428.60, 314,141.40 and 84,767.80 is: 127,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,428.60 : 314,141.40 = 84,767.80 : x
  2. Step 2: Convert to fraction form
    209,428.60/314,141.40 = 84,767.80/x
  3. Step 3: Cross multiply
    209,428.60x = 314,141.40 × 84,767.80
  4. Step 4: Simplify right side
    209,428.60x = 26,629,075,366.92
  5. Step 5: Solve for x
    x = 26,629,075,366.92/209,428.60
  6. Step 6: Final answer
    x = 127,151.09

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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.