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Finding the Fourth Proportional to 209,418.39, 314,162.87 and 97,053.03

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Solution

The fourth proportional to 209,418.39, 314,162.87 and 97,053.03 is: 145,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,418.39 : 314,162.87 = 97,053.03 : x
  2. Step 2: Convert to fraction form
    209,418.39/314,162.87 = 97,053.03/x
  3. Step 3: Cross multiply
    209,418.39x = 314,162.87 × 97,053.03
  4. Step 4: Simplify right side
    209,418.39x = 30,490,458,447.00
  5. Step 5: Solve for x
    x = 30,490,458,447.00/209,418.39
  6. Step 6: Final answer
    x = 145,595.90

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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.