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Finding the Fourth Proportional to 205,833.94, 308,707.70 and 58,055.38

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Solution

The fourth proportional to 205,833.94, 308,707.70 and 58,055.38 is: 87,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833.94 : 308,707.70 = 58,055.38 : x
  2. Step 2: Convert to fraction form
    205,833.94/308,707.70 = 58,055.38/x
  3. Step 3: Cross multiply
    205,833.94x = 308,707.70 × 58,055.38
  4. Step 4: Simplify right side
    205,833.94x = 17,922,141,288.89
  5. Step 5: Solve for x
    x = 17,922,141,288.89/205,833.94
  6. Step 6: Final answer
    x = 87,070.88

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Why These Related Problems?

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