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Finding the Fourth Proportional to 270,412.77, 405,333.12 and 101,860.16

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Solution

The fourth proportional to 270,412.77, 405,333.12 and 101,860.16 is: 152,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,412.77 : 405,333.12 = 101,860.16 : x
  2. Step 2: Convert to fraction form
    270,412.77/405,333.12 = 101,860.16/x
  3. Step 3: Cross multiply
    270,412.77x = 405,333.12 × 101,860.16
  4. Step 4: Simplify right side
    270,412.77x = 41,287,296,456.50
  5. Step 5: Solve for x
    x = 41,287,296,456.50/270,412.77
  6. Step 6: Final answer
    x = 152,682.50

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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.