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Finding the Fourth Proportional to 209,154.60, 313,904.70 and 97,007.40

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Solution

The fourth proportional to 209,154.60, 313,904.70 and 97,007.40 is: 145,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,154.60 : 313,904.70 = 97,007.40 : x
  2. Step 2: Convert to fraction form
    209,154.60/313,904.70 = 97,007.40/x
  3. Step 3: Cross multiply
    209,154.60x = 313,904.70 × 97,007.40
  4. Step 4: Simplify right side
    209,154.60x = 30,451,078,794.78
  5. Step 5: Solve for x
    x = 30,451,078,794.78/209,154.60
  6. Step 6: Final answer
    x = 145,591.25

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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.