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Finding the Fourth Proportional to 205,434.35, 308,114.60 and 93,093.63

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Solution

The fourth proportional to 205,434.35, 308,114.60 and 93,093.63 is: 139,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.35 : 308,114.60 = 93,093.63 : x
  2. Step 2: Convert to fraction form
    205,434.35/308,114.60 = 93,093.63/x
  3. Step 3: Cross multiply
    205,434.35x = 308,114.60 × 93,093.63
  4. Step 4: Simplify right side
    205,434.35x = 28,683,506,570.00
  5. Step 5: Solve for x
    x = 28,683,506,570.00/205,434.35
  6. Step 6: Final answer
    x = 139,623.71

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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.