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Finding the Fourth Proportional to 200,480.12, 299,889.12 and 152,733.96

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Solution

The fourth proportional to 200,480.12, 299,889.12 and 152,733.96 is: 228,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,480.12 : 299,889.12 = 152,733.96 : x
  2. Step 2: Convert to fraction form
    200,480.12/299,889.12 = 152,733.96/x
  3. Step 3: Cross multiply
    200,480.12x = 299,889.12 × 152,733.96
  4. Step 4: Simplify right side
    200,480.12x = 45,803,252,858.52
  5. Step 5: Solve for x
    x = 45,803,252,858.52/200,480.12
  6. Step 6: Final answer
    x = 228,467.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.