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Finding the Fourth Proportional to 205,389.40, 307,565.70 and 152,512.60

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Solution

The fourth proportional to 205,389.40, 307,565.70 and 152,512.60 is: 228,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,389.40 : 307,565.70 = 152,512.60 : x
  2. Step 2: Convert to fraction form
    205,389.40/307,565.70 = 152,512.60/x
  3. Step 3: Cross multiply
    205,389.40x = 307,565.70 × 152,512.60
  4. Step 4: Simplify right side
    205,389.40x = 46,907,644,577.82
  5. Step 5: Solve for x
    x = 46,907,644,577.82/205,389.40
  6. Step 6: Final answer
    x = 228,383.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.