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Finding the Fourth Proportional to 153,198.64, 211,411.08 and 85,213.28

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Solution

The fourth proportional to 153,198.64, 211,411.08 and 85,213.28 is: 117,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,198.64 : 211,411.08 = 85,213.28 : x
  2. Step 2: Convert to fraction form
    153,198.64/211,411.08 = 85,213.28/x
  3. Step 3: Cross multiply
    153,198.64x = 211,411.08 × 85,213.28
  4. Step 4: Simplify right side
    153,198.64x = 18,015,031,555.14
  5. Step 5: Solve for x
    x = 18,015,031,555.14/153,198.64
  6. Step 6: Final answer
    x = 117,592.63

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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.