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Finding the Fourth Proportional to 200,421, 276,596.71 and 114,360.12

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Solution

The fourth proportional to 200,421, 276,596.71 and 114,360.12 is: 157,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,421 : 276,596.71 = 114,360.12 : x
  2. Step 2: Convert to fraction form
    200,421/276,596.71 = 114,360.12/x
  3. Step 3: Cross multiply
    200,421x = 276,596.71 × 114,360.12
  4. Step 4: Simplify right side
    200,421x = 31,631,632,661.30
  5. Step 5: Solve for x
    x = 31,631,632,661.30/200,421
  6. Step 6: Final answer
    x = 157,825.94

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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.