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Finding the Fourth Proportional to 209,062.35, 288,491.40 and 115,927.25

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Solution

The fourth proportional to 209,062.35, 288,491.40 and 115,927.25 is: 159,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.35 : 288,491.40 = 115,927.25 : x
  2. Step 2: Convert to fraction form
    209,062.35/288,491.40 = 115,927.25/x
  3. Step 3: Cross multiply
    209,062.35x = 288,491.40 × 115,927.25
  4. Step 4: Simplify right side
    209,062.35x = 33,444,013,208.19
  5. Step 5: Solve for x
    x = 33,444,013,208.19/209,062.35
  6. Step 6: Final answer
    x = 159,971.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.