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Finding the Fourth Proportional to 255,682.88, 383,579.68 and 97,911.34

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Solution

The fourth proportional to 255,682.88, 383,579.68 and 97,911.34 is: 146,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,682.88 : 383,579.68 = 97,911.34 : x
  2. Step 2: Convert to fraction form
    255,682.88/383,579.68 = 97,911.34/x
  3. Step 3: Cross multiply
    255,682.88x = 383,579.68 × 97,911.34
  4. Step 4: Simplify right side
    255,682.88x = 37,556,799,261.84
  5. Step 5: Solve for x
    x = 37,556,799,261.84/255,682.88
  6. Step 6: Final answer
    x = 146,888.21

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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.