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Finding the Fourth Proportional to 205,029.30, 282,520.50 and 151,229.10

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Solution

The fourth proportional to 205,029.30, 282,520.50 and 151,229.10 is: 208,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,029.30 : 282,520.50 = 151,229.10 : x
  2. Step 2: Convert to fraction form
    205,029.30/282,520.50 = 151,229.10/x
  3. Step 3: Cross multiply
    205,029.30x = 282,520.50 × 151,229.10
  4. Step 4: Simplify right side
    205,029.30x = 42,725,320,946.55
  5. Step 5: Solve for x
    x = 42,725,320,946.55/205,029.30
  6. Step 6: Final answer
    x = 208,386.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.