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Finding the Fourth Proportional to 104,152.92, 143,731.08 and 56,406.48

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Solution

The fourth proportional to 104,152.92, 143,731.08 and 56,406.48 is: 77,840.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,152.92 : 143,731.08 = 56,406.48 : x
  2. Step 2: Convert to fraction form
    104,152.92/143,731.08 = 56,406.48/x
  3. Step 3: Cross multiply
    104,152.92x = 143,731.08 × 56,406.48
  4. Step 4: Simplify right side
    104,152.92x = 8,107,364,289.40
  5. Step 5: Solve for x
    x = 8,107,364,289.40/104,152.92
  6. Step 6: Final answer
    x = 77,840.97

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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.