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Finding the Fourth Proportional to 188,459.10, 282,723.27 and 62,106.78

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Solution

The fourth proportional to 188,459.10, 282,723.27 and 62,106.78 is: 93,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,459.10 : 282,723.27 = 62,106.78 : x
  2. Step 2: Convert to fraction form
    188,459.10/282,723.27 = 62,106.78/x
  3. Step 3: Cross multiply
    188,459.10x = 282,723.27 × 62,106.78
  4. Step 4: Simplify right side
    188,459.10x = 17,559,031,930.77
  5. Step 5: Solve for x
    x = 17,559,031,930.77/188,459.10
  6. Step 6: Final answer
    x = 93,171.58

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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.