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Finding the Fourth Proportional to 205,162.72, 282,901.32 and 133,409.68

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Solution

The fourth proportional to 205,162.72, 282,901.32 and 133,409.68 is: 183,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,162.72 : 282,901.32 = 133,409.68 : x
  2. Step 2: Convert to fraction form
    205,162.72/282,901.32 = 133,409.68/x
  3. Step 3: Cross multiply
    205,162.72x = 282,901.32 × 133,409.68
  4. Step 4: Simplify right side
    205,162.72x = 37,741,774,572.78
  5. Step 5: Solve for x
    x = 37,741,774,572.78/205,162.72
  6. Step 6: Final answer
    x = 183,960.20

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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.