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Finding the Fourth Proportional to 114,475.87, 157,975.68 and 64,174.87

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Solution

The fourth proportional to 114,475.87, 157,975.68 and 64,174.87 is: 88,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,475.87 : 157,975.68 = 64,174.87 : x
  2. Step 2: Convert to fraction form
    114,475.87/157,975.68 = 64,174.87/x
  3. Step 3: Cross multiply
    114,475.87x = 157,975.68 × 64,174.87
  4. Step 4: Simplify right side
    114,475.87x = 10,138,068,727.16
  5. Step 5: Solve for x
    x = 10,138,068,727.16/114,475.87
  6. Step 6: Final answer
    x = 88,560.75

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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.