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Finding the Fourth Proportional to 209,971.60, 314,957.40 and 131,239.60

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Solution

The fourth proportional to 209,971.60, 314,957.40 and 131,239.60 is: 196,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,971.60 : 314,957.40 = 131,239.60 : x
  2. Step 2: Convert to fraction form
    209,971.60/314,957.40 = 131,239.60/x
  3. Step 3: Cross multiply
    209,971.60x = 314,957.40 × 131,239.60
  4. Step 4: Simplify right side
    209,971.60x = 41,334,883,193.04
  5. Step 5: Solve for x
    x = 41,334,883,193.04/209,971.60
  6. Step 6: Final answer
    x = 196,859.40

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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.