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Finding the Fourth Proportional to 209,481.60, 314,222.40 and 98,889.60

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Solution

The fourth proportional to 209,481.60, 314,222.40 and 98,889.60 is: 148,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,481.60 : 314,222.40 = 98,889.60 : x
  2. Step 2: Convert to fraction form
    209,481.60/314,222.40 = 98,889.60/x
  3. Step 3: Cross multiply
    209,481.60x = 314,222.40 × 98,889.60
  4. Step 4: Simplify right side
    209,481.60x = 31,073,327,447.04
  5. Step 5: Solve for x
    x = 31,073,327,447.04/209,481.60
  6. Step 6: Final answer
    x = 148,334.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.