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Finding the Fourth Proportional to 156,454.80, 234,578.49 and 56,602

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Solution

The fourth proportional to 156,454.80, 234,578.49 and 56,602 is: 84,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,454.80 : 234,578.49 = 56,602 : x
  2. Step 2: Convert to fraction form
    156,454.80/234,578.49 = 56,602/x
  3. Step 3: Cross multiply
    156,454.80x = 234,578.49 × 56,602
  4. Step 4: Simplify right side
    156,454.80x = 13,277,611,690.98
  5. Step 5: Solve for x
    x = 13,277,611,690.98/156,454.80
  6. Step 6: Final answer
    x = 84,865.48

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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.