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Finding the Fourth Proportional to 145,202.50, 217,811.96 and 51,708.26

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Solution

The fourth proportional to 145,202.50, 217,811.96 and 51,708.26 is: 77,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,202.50 : 217,811.96 = 51,708.26 : x
  2. Step 2: Convert to fraction form
    145,202.50/217,811.96 = 51,708.26/x
  3. Step 3: Cross multiply
    145,202.50x = 217,811.96 × 51,708.26
  4. Step 4: Simplify right side
    145,202.50x = 11,262,677,458.79
  5. Step 5: Solve for x
    x = 11,262,677,458.79/145,202.50
  6. Step 6: Final answer
    x = 77,565.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.