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Finding the Fourth Proportional to 208,032.70, 311,866.80 and 141,256.30

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Solution

The fourth proportional to 208,032.70, 311,866.80 and 141,256.30 is: 211,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.70 : 311,866.80 = 141,256.30 : x
  2. Step 2: Convert to fraction form
    208,032.70/311,866.80 = 141,256.30/x
  3. Step 3: Cross multiply
    208,032.70x = 311,866.80 × 141,256.30
  4. Step 4: Simplify right side
    208,032.70x = 44,053,150,260.84
  5. Step 5: Solve for x
    x = 44,053,150,260.84/208,032.70
  6. Step 6: Final answer
    x = 211,760.70

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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.