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Finding the Fourth Proportional to 188,307, 282,460.26 and 48,065.64

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Solution

The fourth proportional to 188,307, 282,460.26 and 48,065.64 is: 72,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,307 : 282,460.26 = 48,065.64 : x
  2. Step 2: Convert to fraction form
    188,307/282,460.26 = 48,065.64/x
  3. Step 3: Cross multiply
    188,307x = 282,460.26 × 48,065.64
  4. Step 4: Simplify right side
    188,307x = 13,576,633,171.47
  5. Step 5: Solve for x
    x = 13,576,633,171.47/188,307
  6. Step 6: Final answer
    x = 72,098.40

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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.