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Finding the Fourth Proportional to 221,846.40, 332,978.40 and 116,740.80

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Solution

The fourth proportional to 221,846.40, 332,978.40 and 116,740.80 is: 175,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,846.40 : 332,978.40 = 116,740.80 : x
  2. Step 2: Convert to fraction form
    221,846.40/332,978.40 = 116,740.80/x
  3. Step 3: Cross multiply
    221,846.40x = 332,978.40 × 116,740.80
  4. Step 4: Simplify right side
    221,846.40x = 38,872,164,798.72
  5. Step 5: Solve for x
    x = 38,872,164,798.72/221,846.40
  6. Step 6: Final answer
    x = 175,221.08

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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.