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Finding the Fourth Proportional to 209,953.14, 314,984 and 60,204.39

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Solution

The fourth proportional to 209,953.14, 314,984 and 60,204.39 is: 90,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953.14 : 314,984 = 60,204.39 : x
  2. Step 2: Convert to fraction form
    209,953.14/314,984 = 60,204.39/x
  3. Step 3: Cross multiply
    209,953.14x = 314,984 × 60,204.39
  4. Step 4: Simplify right side
    209,953.14x = 18,963,419,579.76
  5. Step 5: Solve for x
    x = 18,963,419,579.76/209,953.14
  6. Step 6: Final answer
    x = 90,322.15

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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.