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Finding the Fourth Proportional to 104,156.63, 143,736.34 and 56,409.98

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Solution

The fourth proportional to 104,156.63, 143,736.34 and 56,409.98 is: 77,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,156.63 : 143,736.34 = 56,409.98 : x
  2. Step 2: Convert to fraction form
    104,156.63/143,736.34 = 56,409.98/x
  3. Step 3: Cross multiply
    104,156.63x = 143,736.34 × 56,409.98
  4. Step 4: Simplify right side
    104,156.63x = 8,108,164,064.67
  5. Step 5: Solve for x
    x = 8,108,164,064.67/104,156.63
  6. Step 6: Final answer
    x = 77,845.88

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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.