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Finding the Fourth Proportional to 205,088.59, 282,979.93 and 117,856.79

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Solution

The fourth proportional to 205,088.59, 282,979.93 and 117,856.79 is: 162,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,088.59 : 282,979.93 = 117,856.79 : x
  2. Step 2: Convert to fraction form
    205,088.59/282,979.93 = 117,856.79/x
  3. Step 3: Cross multiply
    205,088.59x = 282,979.93 × 117,856.79
  4. Step 4: Simplify right side
    205,088.59x = 33,351,104,180.04
  5. Step 5: Solve for x
    x = 33,351,104,180.04/205,088.59
  6. Step 6: Final answer
    x = 162,618.04

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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.