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Finding the Fourth Proportional to 116,683.96, 161,020.14 and 65,699.32

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Solution

The fourth proportional to 116,683.96, 161,020.14 and 65,699.32 is: 90,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,683.96 : 161,020.14 = 65,699.32 : x
  2. Step 2: Convert to fraction form
    116,683.96/161,020.14 = 65,699.32/x
  3. Step 3: Cross multiply
    116,683.96x = 161,020.14 × 65,699.32
  4. Step 4: Simplify right side
    116,683.96x = 10,578,913,704.30
  5. Step 5: Solve for x
    x = 10,578,913,704.30/116,683.96
  6. Step 6: Final answer
    x = 90,662.96

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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.