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Finding the Fourth Proportional to 145,200.50, 217,808.96 and 51,706.26

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Solution

The fourth proportional to 145,200.50, 217,808.96 and 51,706.26 is: 77,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,200.50 : 217,808.96 = 51,706.26 : x
  2. Step 2: Convert to fraction form
    145,200.50/217,808.96 = 51,706.26/x
  3. Step 3: Cross multiply
    145,200.50x = 217,808.96 × 51,706.26
  4. Step 4: Simplify right side
    145,200.50x = 11,262,086,716.09
  5. Step 5: Solve for x
    x = 11,262,086,716.09/145,200.50
  6. Step 6: Final answer
    x = 77,562.31

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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.