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Finding the Fourth Proportional to 114,084.80, 170,960.79 and 64,178.81

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Solution

The fourth proportional to 114,084.80, 170,960.79 and 64,178.81 is: 96,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,084.80 : 170,960.79 = 64,178.81 : x
  2. Step 2: Convert to fraction form
    114,084.80/170,960.79 = 64,178.81/x
  3. Step 3: Cross multiply
    114,084.80x = 170,960.79 × 64,178.81
  4. Step 4: Simplify right side
    114,084.80x = 10,972,060,058.86
  5. Step 5: Solve for x
    x = 10,972,060,058.86/114,084.80
  6. Step 6: Final answer
    x = 96,174.60

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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.