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Finding the Fourth Proportional to 274,249.80, 411,415.74 and 87,303.24

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Solution

The fourth proportional to 274,249.80, 411,415.74 and 87,303.24 is: 130,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,249.80 : 411,415.74 = 87,303.24 : x
  2. Step 2: Convert to fraction form
    274,249.80/411,415.74 = 87,303.24/x
  3. Step 3: Cross multiply
    274,249.80x = 411,415.74 × 87,303.24
  4. Step 4: Simplify right side
    274,249.80x = 35,917,927,089.00
  5. Step 5: Solve for x
    x = 35,917,927,089.00/274,249.80
  6. Step 6: Final answer
    x = 130,967.92

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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.