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Finding the Fourth Proportional to 97,682.80, 146,848.20 and 84,852.40

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Solution

The fourth proportional to 97,682.80, 146,848.20 and 84,852.40 is: 127,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682.80 : 146,848.20 = 84,852.40 : x
  2. Step 2: Convert to fraction form
    97,682.80/146,848.20 = 84,852.40/x
  3. Step 3: Cross multiply
    97,682.80x = 146,848.20 × 84,852.40
  4. Step 4: Simplify right side
    97,682.80x = 12,460,422,205.68
  5. Step 5: Solve for x
    x = 12,460,422,205.68/97,682.80
  6. Step 6: Final answer
    x = 127,560.04

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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.