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Finding the Fourth Proportional to 200,225.86, 276,307.95 and 109,579.98

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Solution

The fourth proportional to 200,225.86, 276,307.95 and 109,579.98 is: 151,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,225.86 : 276,307.95 = 109,579.98 : x
  2. Step 2: Convert to fraction form
    200,225.86/276,307.95 = 109,579.98/x
  3. Step 3: Cross multiply
    200,225.86x = 276,307.95 × 109,579.98
  4. Step 4: Simplify right side
    200,225.86x = 30,277,821,081.92
  5. Step 5: Solve for x
    x = 30,277,821,081.92/200,225.86
  6. Step 6: Final answer
    x = 151,218.34

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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.