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Finding the Fourth Proportional to 205,329.60, 307,702.80 and 142,927.20

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Solution

The fourth proportional to 205,329.60, 307,702.80 and 142,927.20 is: 214,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329.60 : 307,702.80 = 142,927.20 : x
  2. Step 2: Convert to fraction form
    205,329.60/307,702.80 = 142,927.20/x
  3. Step 3: Cross multiply
    205,329.60x = 307,702.80 × 142,927.20
  4. Step 4: Simplify right side
    205,329.60x = 43,979,099,636.16
  5. Step 5: Solve for x
    x = 43,979,099,636.16/205,329.60
  6. Step 6: Final answer
    x = 214,187.82

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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.