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Finding the Fourth Proportional to 243,580.30, 364,852.05 and 202,108.30

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Solution

The fourth proportional to 243,580.30, 364,852.05 and 202,108.30 is: 302,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,580.30 : 364,852.05 = 202,108.30 : x
  2. Step 2: Convert to fraction form
    243,580.30/364,852.05 = 202,108.30/x
  3. Step 3: Cross multiply
    243,580.30x = 364,852.05 × 202,108.30
  4. Step 4: Simplify right side
    243,580.30x = 73,739,627,577.02
  5. Step 5: Solve for x
    x = 73,739,627,577.02/243,580.30
  6. Step 6: Final answer
    x = 302,732.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.