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Finding the Fourth Proportional to 209,135.63, 288,583.74 and 118,472.18

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Solution

The fourth proportional to 209,135.63, 288,583.74 and 118,472.18 is: 163,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,135.63 : 288,583.74 = 118,472.18 : x
  2. Step 2: Convert to fraction form
    209,135.63/288,583.74 = 118,472.18/x
  3. Step 3: Cross multiply
    209,135.63x = 288,583.74 × 118,472.18
  4. Step 4: Simplify right side
    209,135.63x = 34,189,144,873.89
  5. Step 5: Solve for x
    x = 34,189,144,873.89/209,135.63
  6. Step 6: Final answer
    x = 163,478.34

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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.