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Finding the Fourth Proportional to 209,223.41, 288,741.71 and 117,351.32

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Solution

The fourth proportional to 209,223.41, 288,741.71 and 117,351.32 is: 161,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,223.41 : 288,741.71 = 117,351.32 : x
  2. Step 2: Convert to fraction form
    209,223.41/288,741.71 = 117,351.32/x
  3. Step 3: Cross multiply
    209,223.41x = 288,741.71 × 117,351.32
  4. Step 4: Simplify right side
    209,223.41x = 33,884,219,657.23
  5. Step 5: Solve for x
    x = 33,884,219,657.23/209,223.41
  6. Step 6: Final answer
    x = 161,952.34

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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.