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Finding the Fourth Proportional to 200,152.32, 276,197.76 and 110,728.32

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Solution

The fourth proportional to 200,152.32, 276,197.76 and 110,728.32 is: 152,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,152.32 : 276,197.76 = 110,728.32 : x
  2. Step 2: Convert to fraction form
    200,152.32/276,197.76 = 110,728.32/x
  3. Step 3: Cross multiply
    200,152.32x = 276,197.76 × 110,728.32
  4. Step 4: Simplify right side
    200,152.32x = 30,582,913,952.56
  5. Step 5: Solve for x
    x = 30,582,913,952.56/200,152.32
  6. Step 6: Final answer
    x = 152,798.20

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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.