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Finding the Fourth Proportional to 200,251.50, 276,347.88 and 110,827.50

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Solution

The fourth proportional to 200,251.50, 276,347.88 and 110,827.50 is: 152,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,251.50 : 276,347.88 = 110,827.50 : x
  2. Step 2: Convert to fraction form
    200,251.50/276,347.88 = 110,827.50/x
  3. Step 3: Cross multiply
    200,251.50x = 276,347.88 × 110,827.50
  4. Step 4: Simplify right side
    200,251.50x = 30,626,944,670.70
  5. Step 5: Solve for x
    x = 30,626,944,670.70/200,251.50
  6. Step 6: Final answer
    x = 152,942.40

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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.