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Finding the Fourth Proportional to 205,063.84, 282,954.16 and 136,971.60

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Solution

The fourth proportional to 205,063.84, 282,954.16 and 136,971.60 is: 188,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,063.84 : 282,954.16 = 136,971.60 : x
  2. Step 2: Convert to fraction form
    205,063.84/282,954.16 = 136,971.60/x
  3. Step 3: Cross multiply
    205,063.84x = 282,954.16 × 136,971.60
  4. Step 4: Simplify right side
    205,063.84x = 38,756,684,021.86
  5. Step 5: Solve for x
    x = 38,756,684,021.86/205,063.84
  6. Step 6: Final answer
    x = 188,998.14

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Why These Related Problems?

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