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Finding the Fourth Proportional to 188,468.40, 282,702.60 and 162,807.60

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Solution

The fourth proportional to 188,468.40, 282,702.60 and 162,807.60 is: 244,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,468.40 : 282,702.60 = 162,807.60 : x
  2. Step 2: Convert to fraction form
    188,468.40/282,702.60 = 162,807.60/x
  3. Step 3: Cross multiply
    188,468.40x = 282,702.60 × 162,807.60
  4. Step 4: Simplify right side
    188,468.40x = 46,026,131,819.76
  5. Step 5: Solve for x
    x = 46,026,131,819.76/188,468.40
  6. Step 6: Final answer
    x = 244,211.40

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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.