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Finding the Fourth Proportional to 213,145.49, 294,152.92 and 127,081.58

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Solution

The fourth proportional to 213,145.49, 294,152.92 and 127,081.58 is: 175,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,145.49 : 294,152.92 = 127,081.58 : x
  2. Step 2: Convert to fraction form
    213,145.49/294,152.92 = 127,081.58/x
  3. Step 3: Cross multiply
    213,145.49x = 294,152.92 × 127,081.58
  4. Step 4: Simplify right side
    213,145.49x = 37,381,416,046.75
  5. Step 5: Solve for x
    x = 37,381,416,046.75/213,145.49
  6. Step 6: Final answer
    x = 175,379.81

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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.