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Finding the Fourth Proportional to 117,420.20, 176,020.70 and 46,343.40

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Solution

The fourth proportional to 117,420.20, 176,020.70 and 46,343.40 is: 69,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,420.20 : 176,020.70 = 46,343.40 : x
  2. Step 2: Convert to fraction form
    117,420.20/176,020.70 = 46,343.40/x
  3. Step 3: Cross multiply
    117,420.20x = 176,020.70 × 46,343.40
  4. Step 4: Simplify right side
    117,420.20x = 8,157,397,708.38
  5. Step 5: Solve for x
    x = 8,157,397,708.38/117,420.20
  6. Step 6: Final answer
    x = 69,471.84

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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.