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Finding the Fourth Proportional to 243,677.80, 364,998.30 and 202,205.80

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Solution

The fourth proportional to 243,677.80, 364,998.30 and 202,205.80 is: 302,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,677.80 : 364,998.30 = 202,205.80 : x
  2. Step 2: Convert to fraction form
    243,677.80/364,998.30 = 202,205.80/x
  3. Step 3: Cross multiply
    243,677.80x = 364,998.30 × 202,205.80
  4. Step 4: Simplify right side
    243,677.80x = 73,804,773,250.14
  5. Step 5: Solve for x
    x = 73,804,773,250.14/243,677.80
  6. Step 6: Final answer
    x = 302,878.53

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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.