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Finding the Fourth Proportional to 270,802.39, 405,915.45 and 102,250.96

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Solution

The fourth proportional to 270,802.39, 405,915.45 and 102,250.96 is: 153,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,802.39 : 405,915.45 = 102,250.96 : x
  2. Step 2: Convert to fraction form
    270,802.39/405,915.45 = 102,250.96/x
  3. Step 3: Cross multiply
    270,802.39x = 405,915.45 × 102,250.96
  4. Step 4: Simplify right side
    270,802.39x = 41,505,243,618.26
  5. Step 5: Solve for x
    x = 41,505,243,618.26/270,802.39
  6. Step 6: Final answer
    x = 153,267.64

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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.