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Finding the Fourth Proportional to 102,102.94, 140,881.41 and 59,653.27

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Solution

The fourth proportional to 102,102.94, 140,881.41 and 59,653.27 is: 82,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.94 : 140,881.41 = 59,653.27 : x
  2. Step 2: Convert to fraction form
    102,102.94/140,881.41 = 59,653.27/x
  3. Step 3: Cross multiply
    102,102.94x = 140,881.41 × 59,653.27
  4. Step 4: Simplify right side
    102,102.94x = 8,404,036,788.71
  5. Step 5: Solve for x
    x = 8,404,036,788.71/102,102.94
  6. Step 6: Final answer
    x = 82,309.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.