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Finding the Fourth Proportional to 114,958.56, 158,641.28 and 64,657.56

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Solution

The fourth proportional to 114,958.56, 158,641.28 and 64,657.56 is: 89,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,958.56 : 158,641.28 = 64,657.56 : x
  2. Step 2: Convert to fraction form
    114,958.56/158,641.28 = 64,657.56/x
  3. Step 3: Cross multiply
    114,958.56x = 158,641.28 × 64,657.56
  4. Step 4: Simplify right side
    114,958.56x = 10,257,358,080.08
  5. Step 5: Solve for x
    x = 10,257,358,080.08/114,958.56
  6. Step 6: Final answer
    x = 89,226.57

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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.