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Finding the Fourth Proportional to 354,698.20, 532,095.90 and 118,016.20

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Solution

The fourth proportional to 354,698.20, 532,095.90 and 118,016.20 is: 177,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,698.20 : 532,095.90 = 118,016.20 : x
  2. Step 2: Convert to fraction form
    354,698.20/532,095.90 = 118,016.20/x
  3. Step 3: Cross multiply
    354,698.20x = 532,095.90 × 118,016.20
  4. Step 4: Simplify right side
    354,698.20x = 62,795,936,153.58
  5. Step 5: Solve for x
    x = 62,795,936,153.58/354,698.20
  6. Step 6: Final answer
    x = 177,040.47

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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.