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Finding the Fourth Proportional to 77,204.53, 105,569.36 and 77,204.53

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Solution

The fourth proportional to 77,204.53, 105,569.36 and 77,204.53 is: 105,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,204.53 : 105,569.36 = 77,204.53 : x
  2. Step 2: Convert to fraction form
    77,204.53/105,569.36 = 77,204.53/x
  3. Step 3: Cross multiply
    77,204.53x = 105,569.36 × 77,204.53
  4. Step 4: Simplify right side
    77,204.53x = 8,150,432,821.20
  5. Step 5: Solve for x
    x = 8,150,432,821.20/77,204.53
  6. Step 6: Final answer
    x = 105,569.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.