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Finding the Fourth Proportional to 209,417.39, 314,161.37 and 97,052.03

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Solution

The fourth proportional to 209,417.39, 314,161.37 and 97,052.03 is: 145,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,417.39 : 314,161.37 = 97,052.03 : x
  2. Step 2: Convert to fraction form
    209,417.39/314,161.37 = 97,052.03/x
  3. Step 3: Cross multiply
    209,417.39x = 314,161.37 × 97,052.03
  4. Step 4: Simplify right side
    209,417.39x = 30,489,998,220.82
  5. Step 5: Solve for x
    x = 30,489,998,220.82/209,417.39
  6. Step 6: Final answer
    x = 145,594.40

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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.