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Finding the Fourth Proportional to 209,085.72, 288,341.58 and 161,263.32

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Solution

The fourth proportional to 209,085.72, 288,341.58 and 161,263.32 is: 222,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,085.72 : 288,341.58 = 161,263.32 : x
  2. Step 2: Convert to fraction form
    209,085.72/288,341.58 = 161,263.32/x
  3. Step 3: Cross multiply
    209,085.72x = 288,341.58 × 161,263.32
  4. Step 4: Simplify right side
    209,085.72x = 46,498,920,484.85
  5. Step 5: Solve for x
    x = 46,498,920,484.85/209,085.72
  6. Step 6: Final answer
    x = 222,391.66

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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.