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Finding the Fourth Proportional to 242,539.41, 363,975.57 and 84,768.03

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Solution

The fourth proportional to 242,539.41, 363,975.57 and 84,768.03 is: 127,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,539.41 : 363,975.57 = 84,768.03 : x
  2. Step 2: Convert to fraction form
    242,539.41/363,975.57 = 84,768.03/x
  3. Step 3: Cross multiply
    242,539.41x = 363,975.57 × 84,768.03
  4. Step 4: Simplify right side
    242,539.41x = 30,853,492,037.03
  5. Step 5: Solve for x
    x = 30,853,492,037.03/242,539.41
  6. Step 6: Final answer
    x = 127,210.22

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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.