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Finding the Fourth Proportional to 117,615.80, 176,769.30 and 102,409.40

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Solution

The fourth proportional to 117,615.80, 176,769.30 and 102,409.40 is: 153,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615.80 : 176,769.30 = 102,409.40 : x
  2. Step 2: Convert to fraction form
    117,615.80/176,769.30 = 102,409.40/x
  3. Step 3: Cross multiply
    117,615.80x = 176,769.30 × 102,409.40
  4. Step 4: Simplify right side
    117,615.80x = 18,102,837,951.42
  5. Step 5: Solve for x
    x = 18,102,837,951.42/117,615.80
  6. Step 6: Final answer
    x = 153,915.02

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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.