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Finding the Fourth Proportional to 104,392.92, 144,062.06 and 56,646.28

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Solution

The fourth proportional to 104,392.92, 144,062.06 and 56,646.28 is: 78,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,392.92 : 144,062.06 = 56,646.28 : x
  2. Step 2: Convert to fraction form
    104,392.92/144,062.06 = 56,646.28/x
  3. Step 3: Cross multiply
    104,392.92x = 144,062.06 × 56,646.28
  4. Step 4: Simplify right side
    104,392.92x = 8,160,579,788.14
  5. Step 5: Solve for x
    x = 8,160,579,788.14/104,392.92
  6. Step 6: Final answer
    x = 78,171.77

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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.