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Finding the Fourth Proportional to 104,207.36, 143,805.96 and 56,462

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Solution

The fourth proportional to 104,207.36, 143,805.96 and 56,462 is: 77,917.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,207.36 : 143,805.96 = 56,462 : x
  2. Step 2: Convert to fraction form
    104,207.36/143,805.96 = 56,462/x
  3. Step 3: Cross multiply
    104,207.36x = 143,805.96 × 56,462
  4. Step 4: Simplify right side
    104,207.36x = 8,119,572,113.52
  5. Step 5: Solve for x
    x = 8,119,572,113.52/104,207.36
  6. Step 6: Final answer
    x = 77,917.45

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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.