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Finding the Fourth Proportional to 205,210.89, 308,309.54 and 193,881.69

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Solution

The fourth proportional to 205,210.89, 308,309.54 and 193,881.69 is: 291,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,210.89 : 308,309.54 = 193,881.69 : x
  2. Step 2: Convert to fraction form
    205,210.89/308,309.54 = 193,881.69/x
  3. Step 3: Cross multiply
    205,210.89x = 308,309.54 × 193,881.69
  4. Step 4: Simplify right side
    205,210.89x = 59,775,573,688.91
  5. Step 5: Solve for x
    x = 59,775,573,688.91/205,210.89
  6. Step 6: Final answer
    x = 291,288.51

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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.