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Finding the Fourth Proportional to 188,461.26, 282,733.59 and 62,096.40

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Solution

The fourth proportional to 188,461.26, 282,733.59 and 62,096.40 is: 93,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,461.26 : 282,733.59 = 62,096.40 : x
  2. Step 2: Convert to fraction form
    188,461.26/282,733.59 = 62,096.40/x
  3. Step 3: Cross multiply
    188,461.26x = 282,733.59 × 62,096.40
  4. Step 4: Simplify right side
    188,461.26x = 17,556,738,098.08
  5. Step 5: Solve for x
    x = 17,556,738,098.08/188,461.26
  6. Step 6: Final answer
    x = 93,158.34

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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.