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Finding the Fourth Proportional to 178,251.89, 245,987.84 and 97,682.36

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Solution

The fourth proportional to 178,251.89, 245,987.84 and 97,682.36 is: 134,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,251.89 : 245,987.84 = 97,682.36 : x
  2. Step 2: Convert to fraction form
    178,251.89/245,987.84 = 97,682.36/x
  3. Step 3: Cross multiply
    178,251.89x = 245,987.84 × 97,682.36
  4. Step 4: Simplify right side
    178,251.89x = 24,028,671,207.31
  5. Step 5: Solve for x
    x = 24,028,671,207.31/178,251.89
  6. Step 6: Final answer
    x = 134,801.77

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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.