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Finding the Fourth Proportional to 270,401.54, 405,316.29 and 101,848.94

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Solution

The fourth proportional to 270,401.54, 405,316.29 and 101,848.94 is: 152,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,401.54 : 405,316.29 = 101,848.94 : x
  2. Step 2: Convert to fraction form
    270,401.54/405,316.29 = 101,848.94/x
  3. Step 3: Cross multiply
    270,401.54x = 405,316.29 × 101,848.94
  4. Step 4: Simplify right side
    270,401.54x = 41,281,034,501.23
  5. Step 5: Solve for x
    x = 41,281,034,501.23/270,401.54
  6. Step 6: Final answer
    x = 152,665.68

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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.