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Finding the Fourth Proportional to 274,124.80, 411,000 and 146,060.32

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Solution

The fourth proportional to 274,124.80, 411,000 and 146,060.32 is: 218,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,124.80 : 411,000 = 146,060.32 : x
  2. Step 2: Convert to fraction form
    274,124.80/411,000 = 146,060.32/x
  3. Step 3: Cross multiply
    274,124.80x = 411,000 × 146,060.32
  4. Step 4: Simplify right side
    274,124.80x = 60,030,791,520
  5. Step 5: Solve for x
    x = 60,030,791,520/274,124.80
  6. Step 6: Final answer
    x = 218,990.74

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Why These Related Problems?

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