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Finding the Fourth Proportional to 104,213.76, 143,813.52 and 56,466

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Solution

The fourth proportional to 104,213.76, 143,813.52 and 56,466 is: 77,922.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,213.76 : 143,813.52 = 56,466 : x
  2. Step 2: Convert to fraction form
    104,213.76/143,813.52 = 56,466/x
  3. Step 3: Cross multiply
    104,213.76x = 143,813.52 × 56,466
  4. Step 4: Simplify right side
    104,213.76x = 8,120,574,220.32
  5. Step 5: Solve for x
    x = 8,120,574,220.32/104,213.76
  6. Step 6: Final answer
    x = 77,922.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.