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Finding the Fourth Proportional to 119,465.56, 164,863.64 and 65,751.81

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Solution

The fourth proportional to 119,465.56, 164,863.64 and 65,751.81 is: 90,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,465.56 : 164,863.64 = 65,751.81 : x
  2. Step 2: Convert to fraction form
    119,465.56/164,863.64 = 65,751.81/x
  3. Step 3: Cross multiply
    119,465.56x = 164,863.64 × 65,751.81
  4. Step 4: Simplify right side
    119,465.56x = 10,840,083,068.67
  5. Step 5: Solve for x
    x = 10,840,083,068.67/119,465.56
  6. Step 6: Final answer
    x = 90,738.14

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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.