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Finding the Fourth Proportional to 242,855.94, 364,063.40 and 84,998.28

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Solution

The fourth proportional to 242,855.94, 364,063.40 and 84,998.28 is: 127,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,855.94 : 364,063.40 = 84,998.28 : x
  2. Step 2: Convert to fraction form
    242,855.94/364,063.40 = 84,998.28/x
  3. Step 3: Cross multiply
    242,855.94x = 364,063.40 × 84,998.28
  4. Step 4: Simplify right side
    242,855.94x = 30,944,762,810.95
  5. Step 5: Solve for x
    x = 30,944,762,810.95/242,855.94
  6. Step 6: Final answer
    x = 127,420.24

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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.