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Finding the Fourth Proportional to 114,463.40, 171,695.10 and 77,138.60

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Solution

The fourth proportional to 114,463.40, 171,695.10 and 77,138.60 is: 115,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,463.40 : 171,695.10 = 77,138.60 : x
  2. Step 2: Convert to fraction form
    114,463.40/171,695.10 = 77,138.60/x
  3. Step 3: Cross multiply
    114,463.40x = 171,695.10 × 77,138.60
  4. Step 4: Simplify right side
    114,463.40x = 13,244,319,640.86
  5. Step 5: Solve for x
    x = 13,244,319,640.86/114,463.40
  6. Step 6: Final answer
    x = 115,707.90

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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.