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Finding the Fourth Proportional to 104,706.50, 157,000.23 and 71,466.80

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Solution

The fourth proportional to 104,706.50, 157,000.23 and 71,466.80 is: 107,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,706.50 : 157,000.23 = 71,466.80 : x
  2. Step 2: Convert to fraction form
    104,706.50/157,000.23 = 71,466.80/x
  3. Step 3: Cross multiply
    104,706.50x = 157,000.23 × 71,466.80
  4. Step 4: Simplify right side
    104,706.50x = 11,220,303,252.36
  5. Step 5: Solve for x
    x = 11,220,303,252.36/104,706.50
  6. Step 6: Final answer
    x = 107,159.57

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1.5x scale

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.