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Finding the Fourth Proportional to 114,639.52, 171,799.12 and 97,683.97

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Solution

The fourth proportional to 114,639.52, 171,799.12 and 97,683.97 is: 146,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,639.52 : 171,799.12 = 97,683.97 : x
  2. Step 2: Convert to fraction form
    114,639.52/171,799.12 = 97,683.97/x
  3. Step 3: Cross multiply
    114,639.52x = 171,799.12 × 97,683.97
  4. Step 4: Simplify right side
    114,639.52x = 16,782,020,084.11
  5. Step 5: Solve for x
    x = 16,782,020,084.11/114,639.52
  6. Step 6: Final answer
    x = 146,389.48

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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.