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Finding the Fourth Proportional to 200,683.42, 276,943.51 and 111,259.42

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Solution

The fourth proportional to 200,683.42, 276,943.51 and 111,259.42 is: 153,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,683.42 : 276,943.51 = 111,259.42 : x
  2. Step 2: Convert to fraction form
    200,683.42/276,943.51 = 111,259.42/x
  3. Step 3: Cross multiply
    200,683.42x = 276,943.51 × 111,259.42
  4. Step 4: Simplify right side
    200,683.42x = 30,812,574,295.36
  5. Step 5: Solve for x
    x = 30,812,574,295.36/200,683.42
  6. Step 6: Final answer
    x = 153,538.22

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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.