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Finding the Fourth Proportional to 200,683.26, 276,946.02 and 110,047.50

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Solution

The fourth proportional to 200,683.26, 276,946.02 and 110,047.50 is: 151,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,683.26 : 276,946.02 = 110,047.50 : x
  2. Step 2: Convert to fraction form
    200,683.26/276,946.02 = 110,047.50/x
  3. Step 3: Cross multiply
    200,683.26x = 276,946.02 × 110,047.50
  4. Step 4: Simplify right side
    200,683.26x = 30,477,217,135.95
  5. Step 5: Solve for x
    x = 30,477,217,135.95/200,683.26
  6. Step 6: Final answer
    x = 151,867.26

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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.