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Finding the Fourth Proportional to 175,878.98, 263,380.86 and 123,041.06

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Solution

The fourth proportional to 175,878.98, 263,380.86 and 123,041.06 is: 184,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,878.98 : 263,380.86 = 123,041.06 : x
  2. Step 2: Convert to fraction form
    175,878.98/263,380.86 = 123,041.06/x
  3. Step 3: Cross multiply
    175,878.98x = 263,380.86 × 123,041.06
  4. Step 4: Simplify right side
    175,878.98x = 32,406,660,198.11
  5. Step 5: Solve for x
    x = 32,406,660,198.11/175,878.98
  6. Step 6: Final answer
    x = 184,255.45

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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.