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Finding the Fourth Proportional to 205,212.89, 308,312.54 and 193,883.69

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Solution

The fourth proportional to 205,212.89, 308,312.54 and 193,883.69 is: 291,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,212.89 : 308,312.54 = 193,883.69 : x
  2. Step 2: Convert to fraction form
    205,212.89/308,312.54 = 193,883.69/x
  3. Step 3: Cross multiply
    205,212.89x = 308,312.54 × 193,883.69
  4. Step 4: Simplify right side
    205,212.89x = 59,776,772,928.47
  5. Step 5: Solve for x
    x = 59,776,772,928.47/205,212.89
  6. Step 6: Final answer
    x = 291,291.51

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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.