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Finding the Fourth Proportional to 200,809.16, 277,112.52 and 111,385.16

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Solution

The fourth proportional to 200,809.16, 277,112.52 and 111,385.16 is: 153,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809.16 : 277,112.52 = 111,385.16 : x
  2. Step 2: Convert to fraction form
    200,809.16/277,112.52 = 111,385.16/x
  3. Step 3: Cross multiply
    200,809.16x = 277,112.52 × 111,385.16
  4. Step 4: Simplify right side
    200,809.16x = 30,866,222,378.20
  5. Step 5: Solve for x
    x = 30,866,222,378.20/200,809.16
  6. Step 6: Final answer
    x = 153,709.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.