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Finding the Fourth Proportional to 255,321.92, 383,009.08 and 97,682.96

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Solution

The fourth proportional to 255,321.92, 383,009.08 and 97,682.96 is: 146,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,321.92 : 383,009.08 = 97,682.96 : x
  2. Step 2: Convert to fraction form
    255,321.92/383,009.08 = 97,682.96/x
  3. Step 3: Cross multiply
    255,321.92x = 383,009.08 × 97,682.96
  4. Step 4: Simplify right side
    255,321.92x = 37,413,460,641.28
  5. Step 5: Solve for x
    x = 37,413,460,641.28/255,321.92
  6. Step 6: Final answer
    x = 146,534.46

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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.