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Finding the Fourth Proportional to 200,868.49, 277,197.75 and 110,225.97

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Solution

The fourth proportional to 200,868.49, 277,197.75 and 110,225.97 is: 152,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868.49 : 277,197.75 = 110,225.97 : x
  2. Step 2: Convert to fraction form
    200,868.49/277,197.75 = 110,225.97/x
  3. Step 3: Cross multiply
    200,868.49x = 277,197.75 × 110,225.97
  4. Step 4: Simplify right side
    200,868.49x = 30,554,390,875.57
  5. Step 5: Solve for x
    x = 30,554,390,875.57/200,868.49
  6. Step 6: Final answer
    x = 152,111.42

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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.