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Finding the Fourth Proportional to 116,698.40, 175,069.20 and 37,815.20

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Solution

The fourth proportional to 116,698.40, 175,069.20 and 37,815.20 is: 56,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,698.40 : 175,069.20 = 37,815.20 : x
  2. Step 2: Convert to fraction form
    116,698.40/175,069.20 = 37,815.20/x
  3. Step 3: Cross multiply
    116,698.40x = 175,069.20 × 37,815.20
  4. Step 4: Simplify right side
    116,698.40x = 6,620,276,811.84
  5. Step 5: Solve for x
    x = 6,620,276,811.84/116,698.40
  6. Step 6: Final answer
    x = 56,729.80

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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.