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Finding the Fourth Proportional to 114,947.56, 158,626.11 and 64,646.56

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Solution

The fourth proportional to 114,947.56, 158,626.11 and 64,646.56 is: 89,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,947.56 : 158,626.11 = 64,646.56 : x
  2. Step 2: Convert to fraction form
    114,947.56/158,626.11 = 64,646.56/x
  3. Step 3: Cross multiply
    114,947.56x = 158,626.11 × 64,646.56
  4. Step 4: Simplify right side
    114,947.56x = 10,254,632,337.68
  5. Step 5: Solve for x
    x = 10,254,632,337.68/114,947.56
  6. Step 6: Final answer
    x = 89,211.40

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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.