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Finding the Fourth Proportional to 119,316.96, 164,661.24 and 65,605.86

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Solution

The fourth proportional to 119,316.96, 164,661.24 and 65,605.86 is: 90,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,316.96 : 164,661.24 = 65,605.86 : x
  2. Step 2: Convert to fraction form
    119,316.96/164,661.24 = 65,605.86/x
  3. Step 3: Cross multiply
    119,316.96x = 164,661.24 × 65,605.86
  4. Step 4: Simplify right side
    119,316.96x = 10,802,742,258.87
  5. Step 5: Solve for x
    x = 10,802,742,258.87/119,316.96
  6. Step 6: Final answer
    x = 90,538.20

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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.