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Finding the Fourth Proportional to 177,305.80, 265,715.70 and 113,931.40

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Solution

The fourth proportional to 177,305.80, 265,715.70 and 113,931.40 is: 170,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,305.80 : 265,715.70 = 113,931.40 : x
  2. Step 2: Convert to fraction form
    177,305.80/265,715.70 = 113,931.40/x
  3. Step 3: Cross multiply
    177,305.80x = 265,715.70 × 113,931.40
  4. Step 4: Simplify right side
    177,305.80x = 30,273,361,702.98
  5. Step 5: Solve for x
    x = 30,273,361,702.98/177,305.80
  6. Step 6: Final answer
    x = 170,740.96

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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.