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Finding the Fourth Proportional to 204,696, 282,482.30 and 119,814.89

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Solution

The fourth proportional to 204,696, 282,482.30 and 119,814.89 is: 165,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,696 : 282,482.30 = 119,814.89 : x
  2. Step 2: Convert to fraction form
    204,696/282,482.30 = 119,814.89/x
  3. Step 3: Cross multiply
    204,696x = 282,482.30 × 119,814.89
  4. Step 4: Simplify right side
    204,696x = 33,845,584,588.57
  5. Step 5: Solve for x
    x = 33,845,584,588.57/204,696
  6. Step 6: Final answer
    x = 165,345.61

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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.