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Finding the Fourth Proportional to 209,205.68, 314,946.80 and 190,605.20

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Solution

The fourth proportional to 209,205.68, 314,946.80 and 190,605.20 is: 286,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,205.68 : 314,946.80 = 190,605.20 : x
  2. Step 2: Convert to fraction form
    209,205.68/314,946.80 = 190,605.20/x
  3. Step 3: Cross multiply
    209,205.68x = 314,946.80 × 190,605.20
  4. Step 4: Simplify right side
    209,205.68x = 60,030,497,803.36
  5. Step 5: Solve for x
    x = 60,030,497,803.36/209,205.68
  6. Step 6: Final answer
    x = 286,944.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.