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Finding the Fourth Proportional to 205,051.40, 307,548.30 and 64,824.20

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Solution

The fourth proportional to 205,051.40, 307,548.30 and 64,824.20 is: 97,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,051.40 : 307,548.30 = 64,824.20 : x
  2. Step 2: Convert to fraction form
    205,051.40/307,548.30 = 64,824.20/x
  3. Step 3: Cross multiply
    205,051.40x = 307,548.30 × 64,824.20
  4. Step 4: Simplify right side
    205,051.40x = 19,936,572,508.86
  5. Step 5: Solve for x
    x = 19,936,572,508.86/205,051.40
  6. Step 6: Final answer
    x = 97,227.20

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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.