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Finding the Fourth Proportional to 205,055.37, 282,968.51 and 114,406.65

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Solution

The fourth proportional to 205,055.37, 282,968.51 and 114,406.65 is: 157,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,055.37 : 282,968.51 = 114,406.65 : x
  2. Step 2: Convert to fraction form
    205,055.37/282,968.51 = 114,406.65/x
  3. Step 3: Cross multiply
    205,055.37x = 282,968.51 × 114,406.65
  4. Step 4: Simplify right side
    205,055.37x = 32,373,478,712.56
  5. Step 5: Solve for x
    x = 32,373,478,712.56/205,055.37
  6. Step 6: Final answer
    x = 157,876.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.