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Finding the Fourth Proportional to 211,509.19, 316,640.49 and 185,265.19

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Solution

The fourth proportional to 211,509.19, 316,640.49 and 185,265.19 is: 277,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,509.19 : 316,640.49 = 185,265.19 : x
  2. Step 2: Convert to fraction form
    211,509.19/316,640.49 = 185,265.19/x
  3. Step 3: Cross multiply
    211,509.19x = 316,640.49 × 185,265.19
  4. Step 4: Simplify right side
    211,509.19x = 58,662,460,541.54
  5. Step 5: Solve for x
    x = 58,662,460,541.54/211,509.19
  6. Step 6: Final answer
    x = 277,351.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.