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Finding the Fourth Proportional to 188,173.90, 282,258.41 and 46,020.41

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Solution

The fourth proportional to 188,173.90, 282,258.41 and 46,020.41 is: 69,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,173.90 : 282,258.41 = 46,020.41 : x
  2. Step 2: Convert to fraction form
    188,173.90/282,258.41 = 46,020.41/x
  3. Step 3: Cross multiply
    188,173.90x = 282,258.41 × 46,020.41
  4. Step 4: Simplify right side
    188,173.90x = 12,989,648,456.92
  5. Step 5: Solve for x
    x = 12,989,648,456.92/188,173.90
  6. Step 6: Final answer
    x = 69,030.02

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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.