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Finding the Fourth Proportional to 114,082.80, 170,957.79 and 64,176.81

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Solution

The fourth proportional to 114,082.80, 170,957.79 and 64,176.81 is: 96,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082.80 : 170,957.79 = 64,176.81 : x
  2. Step 2: Convert to fraction form
    114,082.80/170,957.79 = 64,176.81/x
  3. Step 3: Cross multiply
    114,082.80x = 170,957.79 × 64,176.81
  4. Step 4: Simplify right side
    114,082.80x = 10,971,525,606.85
  5. Step 5: Solve for x
    x = 10,971,525,606.85/114,082.80
  6. Step 6: Final answer
    x = 96,171.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.