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Finding the Fourth Proportional to 185,798.64, 256,401 and 100,914.96

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Solution

The fourth proportional to 185,798.64, 256,401 and 100,914.96 is: 139,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,798.64 : 256,401 = 100,914.96 : x
  2. Step 2: Convert to fraction form
    185,798.64/256,401 = 100,914.96/x
  3. Step 3: Cross multiply
    185,798.64x = 256,401 × 100,914.96
  4. Step 4: Simplify right side
    185,798.64x = 25,874,696,658.96
  5. Step 5: Solve for x
    x = 25,874,696,658.96/185,798.64
  6. Step 6: Final answer
    x = 139,262.03

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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.