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Finding the Fourth Proportional to 270,411.77, 405,331.63 and 101,859.16

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Solution

The fourth proportional to 270,411.77, 405,331.63 and 101,859.16 is: 152,681.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,411.77 : 405,331.63 = 101,859.16 : x
  2. Step 2: Convert to fraction form
    270,411.77/405,331.63 = 101,859.16/x
  3. Step 3: Cross multiply
    270,411.77x = 405,331.63 × 101,859.16
  4. Step 4: Simplify right side
    270,411.77x = 41,286,738,843.94
  5. Step 5: Solve for x
    x = 41,286,738,843.94/270,411.77
  6. Step 6: Final answer
    x = 152,681.00

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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.