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Finding the Fourth Proportional to 188,097.19, 282,162.19 and 61,699.52

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Solution

The fourth proportional to 188,097.19, 282,162.19 and 61,699.52 is: 92,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,097.19 : 282,162.19 = 61,699.52 : x
  2. Step 2: Convert to fraction form
    188,097.19/282,162.19 = 61,699.52/x
  3. Step 3: Cross multiply
    188,097.19x = 282,162.19 × 61,699.52
  4. Step 4: Simplify right side
    188,097.19x = 17,409,271,376.65
  5. Step 5: Solve for x
    x = 17,409,271,376.65/188,097.19
  6. Step 6: Final answer
    x = 92,554.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.