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Finding the Fourth Proportional to 200,880.80, 277,214.64 and 110,238.24

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Solution

The fourth proportional to 200,880.80, 277,214.64 and 110,238.24 is: 152,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,880.80 : 277,214.64 = 110,238.24 : x
  2. Step 2: Convert to fraction form
    200,880.80/277,214.64 = 110,238.24/x
  3. Step 3: Cross multiply
    200,880.80x = 277,214.64 × 110,238.24
  4. Step 4: Simplify right side
    200,880.80x = 30,559,654,015.83
  5. Step 5: Solve for x
    x = 30,559,654,015.83/200,880.80
  6. Step 6: Final answer
    x = 152,128.30

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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.