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Finding the Fourth Proportional to 102,165.64, 153,261.85 and 33,754.46

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Solution

The fourth proportional to 102,165.64, 153,261.85 and 33,754.46 is: 50,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.64 : 153,261.85 = 33,754.46 : x
  2. Step 2: Convert to fraction form
    102,165.64/153,261.85 = 33,754.46/x
  3. Step 3: Cross multiply
    102,165.64x = 153,261.85 × 33,754.46
  4. Step 4: Simplify right side
    102,165.64x = 5,173,271,698.06
  5. Step 5: Solve for x
    x = 5,173,271,698.06/102,165.64
  6. Step 6: Final answer
    x = 50,636.12

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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.