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Finding the Fourth Proportional to 140,381.84, 210,683.22 and 65,463.38

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Solution

The fourth proportional to 140,381.84, 210,683.22 and 65,463.38 is: 98,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,381.84 : 210,683.22 = 65,463.38 : x
  2. Step 2: Convert to fraction form
    140,381.84/210,683.22 = 65,463.38/x
  3. Step 3: Cross multiply
    140,381.84x = 210,683.22 × 65,463.38
  4. Step 4: Simplify right side
    140,381.84x = 13,792,035,690.48
  5. Step 5: Solve for x
    x = 13,792,035,690.48/140,381.84
  6. Step 6: Final answer
    x = 98,246.58

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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.