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Finding the Fourth Proportional to 102,325.97, 153,523.11 and 45,392.02

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Solution

The fourth proportional to 102,325.97, 153,523.11 and 45,392.02 is: 68,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,325.97 : 153,523.11 = 45,392.02 : x
  2. Step 2: Convert to fraction form
    102,325.97/153,523.11 = 45,392.02/x
  3. Step 3: Cross multiply
    102,325.97x = 153,523.11 × 45,392.02
  4. Step 4: Simplify right side
    102,325.97x = 6,968,724,079.58
  5. Step 5: Solve for x
    x = 6,968,724,079.58/102,325.97
  6. Step 6: Final answer
    x = 68,103.18

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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.