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Finding the Fourth Proportional to 152,611.49, 228,950.04 and 51,419.60

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Solution

The fourth proportional to 152,611.49, 228,950.04 and 51,419.60 is: 77,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,611.49 : 228,950.04 = 51,419.60 : x
  2. Step 2: Convert to fraction form
    152,611.49/228,950.04 = 51,419.60/x
  3. Step 3: Cross multiply
    152,611.49x = 228,950.04 × 51,419.60
  4. Step 4: Simplify right side
    152,611.49x = 11,772,520,027.34
  5. Step 5: Solve for x
    x = 11,772,520,027.34/152,611.49
  6. Step 6: Final answer
    x = 77,140.46

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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.