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Finding the Fourth Proportional to 216,683.60, 325,118.45 and 83,657.29

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Solution

The fourth proportional to 216,683.60, 325,118.45 and 83,657.29 is: 125,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,683.60 : 325,118.45 = 83,657.29 : x
  2. Step 2: Convert to fraction form
    216,683.60/325,118.45 = 83,657.29/x
  3. Step 3: Cross multiply
    216,683.60x = 325,118.45 × 83,657.29
  4. Step 4: Simplify right side
    216,683.60x = 27,198,528,456.00
  5. Step 5: Solve for x
    x = 27,198,528,456.00/216,683.60
  6. Step 6: Final answer
    x = 125,521.86

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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.