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Finding the Fourth Proportional to 205,809.30, 284,030.01 and 115,175.70

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Solution

The fourth proportional to 205,809.30, 284,030.01 and 115,175.70 is: 158,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.30 : 284,030.01 = 115,175.70 : x
  2. Step 2: Convert to fraction form
    205,809.30/284,030.01 = 115,175.70/x
  3. Step 3: Cross multiply
    205,809.30x = 284,030.01 × 115,175.70
  4. Step 4: Simplify right side
    205,809.30x = 32,713,355,222.76
  5. Step 5: Solve for x
    x = 32,713,355,222.76/205,809.30
  6. Step 6: Final answer
    x = 158,949.84

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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.