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Finding the Fourth Proportional to 263,533.70, 363,686.86 and 148,836.49

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Solution

The fourth proportional to 263,533.70, 363,686.86 and 148,836.49 is: 205,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,533.70 : 363,686.86 = 148,836.49 : x
  2. Step 2: Convert to fraction form
    263,533.70/363,686.86 = 148,836.49/x
  3. Step 3: Cross multiply
    263,533.70x = 363,686.86 × 148,836.49
  4. Step 4: Simplify right side
    263,533.70x = 54,129,874,978.35
  5. Step 5: Solve for x
    x = 54,129,874,978.35/263,533.70
  6. Step 6: Final answer
    x = 205,400.20

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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.