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Finding the Fourth Proportional to 205,833.81, 308,707.52 and 58,055.25

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Solution

The fourth proportional to 205,833.81, 308,707.52 and 58,055.25 is: 87,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833.81 : 308,707.52 = 58,055.25 : x
  2. Step 2: Convert to fraction form
    205,833.81/308,707.52 = 58,055.25/x
  3. Step 3: Cross multiply
    205,833.81x = 308,707.52 × 58,055.25
  4. Step 4: Simplify right side
    205,833.81x = 17,922,091,960.20
  5. Step 5: Solve for x
    x = 17,922,091,960.20/205,833.81
  6. Step 6: Final answer
    x = 87,070.69

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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.