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Finding the Fourth Proportional to 185,650.12, 256,153.22 and 105,077.64

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Solution

The fourth proportional to 185,650.12, 256,153.22 and 105,077.64 is: 144,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,650.12 : 256,153.22 = 105,077.64 : x
  2. Step 2: Convert to fraction form
    185,650.12/256,153.22 = 105,077.64/x
  3. Step 3: Cross multiply
    185,650.12x = 256,153.22 × 105,077.64
  4. Step 4: Simplify right side
    185,650.12x = 26,915,975,836.00
  5. Step 5: Solve for x
    x = 26,915,975,836.00/185,650.12
  6. Step 6: Final answer
    x = 144,982.27

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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.