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Finding the Fourth Proportional to 103,234.64, 154,833.51 and 65,683.17

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Solution

The fourth proportional to 103,234.64, 154,833.51 and 65,683.17 is: 98,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234.64 : 154,833.51 = 65,683.17 : x
  2. Step 2: Convert to fraction form
    103,234.64/154,833.51 = 65,683.17/x
  3. Step 3: Cross multiply
    103,234.64x = 154,833.51 × 65,683.17
  4. Step 4: Simplify right side
    103,234.64x = 10,169,956,046.58
  5. Step 5: Solve for x
    x = 10,169,956,046.58/103,234.64
  6. Step 6: Final answer
    x = 98,513.02

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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.