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Finding the Fourth Proportional to 117,652.80, 176,824.80 and 102,446.40

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Solution

The fourth proportional to 117,652.80, 176,824.80 and 102,446.40 is: 153,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,652.80 : 176,824.80 = 102,446.40 : x
  2. Step 2: Convert to fraction form
    117,652.80/176,824.80 = 102,446.40/x
  3. Step 3: Cross multiply
    117,652.80x = 176,824.80 × 102,446.40
  4. Step 4: Simplify right side
    117,652.80x = 18,115,064,190.72
  5. Step 5: Solve for x
    x = 18,115,064,190.72/117,652.80
  6. Step 6: Final answer
    x = 153,970.53

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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.