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Finding the Fourth Proportional to 256,168.14, 353,686.41 and 165,742.98

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Solution

The fourth proportional to 256,168.14, 353,686.41 and 165,742.98 is: 228,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,168.14 : 353,686.41 = 165,742.98 : x
  2. Step 2: Convert to fraction form
    256,168.14/353,686.41 = 165,742.98/x
  3. Step 3: Cross multiply
    256,168.14x = 353,686.41 × 165,742.98
  4. Step 4: Simplify right side
    256,168.14x = 58,621,039,578.90
  5. Step 5: Solve for x
    x = 58,621,039,578.90/256,168.14
  6. Step 6: Final answer
    x = 228,838.14

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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.