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Finding the Fourth Proportional to 115,683.92, 159,675.24 and 83,792.24

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Solution

The fourth proportional to 115,683.92, 159,675.24 and 83,792.24 is: 115,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,683.92 : 159,675.24 = 83,792.24 : x
  2. Step 2: Convert to fraction form
    115,683.92/159,675.24 = 83,792.24/x
  3. Step 3: Cross multiply
    115,683.92x = 159,675.24 × 83,792.24
  4. Step 4: Simplify right side
    115,683.92x = 13,379,546,032.14
  5. Step 5: Solve for x
    x = 13,379,546,032.14/115,683.92
  6. Step 6: Final answer
    x = 115,656.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.