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Finding the Fourth Proportional to 305,221.50, 457,897.86 and 102,837.72

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Solution

The fourth proportional to 305,221.50, 457,897.86 and 102,837.72 is: 154,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,221.50 : 457,897.86 = 102,837.72 : x
  2. Step 2: Convert to fraction form
    305,221.50/457,897.86 = 102,837.72/x
  3. Step 3: Cross multiply
    305,221.50x = 457,897.86 × 102,837.72
  4. Step 4: Simplify right side
    305,221.50x = 47,089,171,915.28
  5. Step 5: Solve for x
    x = 47,089,171,915.28/305,221.50
  6. Step 6: Final answer
    x = 154,278.69

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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.