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Finding the Fourth Proportional to 255,783.76, 352,974.56 and 148,346.96

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Solution

The fourth proportional to 255,783.76, 352,974.56 and 148,346.96 is: 204,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,783.76 : 352,974.56 = 148,346.96 : x
  2. Step 2: Convert to fraction form
    255,783.76/352,974.56 = 148,346.96/x
  3. Step 3: Cross multiply
    255,783.76x = 352,974.56 × 148,346.96
  4. Step 4: Simplify right side
    255,783.76x = 52,362,702,933.34
  5. Step 5: Solve for x
    x = 52,362,702,933.34/255,783.76
  6. Step 6: Final answer
    x = 204,714.73

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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.