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Finding the Fourth Proportional to 205,998.47, 284,254.39 and 115,341.83

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Solution

The fourth proportional to 205,998.47, 284,254.39 and 115,341.83 is: 159,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,998.47 : 284,254.39 = 115,341.83 : x
  2. Step 2: Convert to fraction form
    205,998.47/284,254.39 = 115,341.83/x
  3. Step 3: Cross multiply
    205,998.47x = 284,254.39 × 115,341.83
  4. Step 4: Simplify right side
    205,998.47x = 32,786,421,528.13
  5. Step 5: Solve for x
    x = 32,786,421,528.13/205,998.47
  6. Step 6: Final answer
    x = 159,158.57

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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.