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Finding the Fourth Proportional to 174,000.20, 260,222.70 and 146,006.60

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Solution

The fourth proportional to 174,000.20, 260,222.70 and 146,006.60 is: 218,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,000.20 : 260,222.70 = 146,006.60 : x
  2. Step 2: Convert to fraction form
    174,000.20/260,222.70 = 146,006.60/x
  3. Step 3: Cross multiply
    174,000.20x = 260,222.70 × 146,006.60
  4. Step 4: Simplify right side
    174,000.20x = 37,994,231,669.82
  5. Step 5: Solve for x
    x = 37,994,231,669.82/174,000.20
  6. Step 6: Final answer
    x = 218,357.40

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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.