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Finding the Fourth Proportional to 128,205.86, 192,274.23 and 58,014.50

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Solution

The fourth proportional to 128,205.86, 192,274.23 and 58,014.50 is: 87,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,205.86 : 192,274.23 = 58,014.50 : x
  2. Step 2: Convert to fraction form
    128,205.86/192,274.23 = 58,014.50/x
  3. Step 3: Cross multiply
    128,205.86x = 192,274.23 × 58,014.50
  4. Step 4: Simplify right side
    128,205.86x = 11,154,693,316.34
  5. Step 5: Solve for x
    x = 11,154,693,316.34/128,205.86
  6. Step 6: Final answer
    x = 87,006.11

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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.