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Finding the Fourth Proportional to 270,802.41, 406,222.04 and 71,122.44

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Solution

The fourth proportional to 270,802.41, 406,222.04 and 71,122.44 is: 106,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,802.41 : 406,222.04 = 71,122.44 : x
  2. Step 2: Convert to fraction form
    270,802.41/406,222.04 = 71,122.44/x
  3. Step 3: Cross multiply
    270,802.41x = 406,222.04 × 71,122.44
  4. Step 4: Simplify right side
    270,802.41x = 28,891,502,666.58
  5. Step 5: Solve for x
    x = 28,891,502,666.58/270,802.41
  6. Step 6: Final answer
    x = 106,688.50

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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.