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Finding the Fourth Proportional to 221,858.40, 332,996.40 and 116,752.80

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Solution

The fourth proportional to 221,858.40, 332,996.40 and 116,752.80 is: 175,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,858.40 : 332,996.40 = 116,752.80 : x
  2. Step 2: Convert to fraction form
    221,858.40/332,996.40 = 116,752.80/x
  3. Step 3: Cross multiply
    221,858.40x = 332,996.40 × 116,752.80
  4. Step 4: Simplify right side
    221,858.40x = 38,878,262,089.92
  5. Step 5: Solve for x
    x = 38,878,262,089.92/221,858.40
  6. Step 6: Final answer
    x = 175,239.08

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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.