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Finding the Fourth Proportional to 209,265.35, 288,767.61 and 116,133.44

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Solution

The fourth proportional to 209,265.35, 288,767.61 and 116,133.44 is: 160,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,265.35 : 288,767.61 = 116,133.44 : x
  2. Step 2: Convert to fraction form
    209,265.35/288,767.61 = 116,133.44/x
  3. Step 3: Cross multiply
    209,265.35x = 288,767.61 × 116,133.44
  4. Step 4: Simplify right side
    209,265.35x = 33,535,574,466.04
  5. Step 5: Solve for x
    x = 33,535,574,466.04/209,265.35
  6. Step 6: Final answer
    x = 160,253.84

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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.