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Finding the Fourth Proportional to 104,103.16, 143,662.32 and 56,356.47

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Solution

The fourth proportional to 104,103.16, 143,662.32 and 56,356.47 is: 77,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,103.16 : 143,662.32 = 56,356.47 : x
  2. Step 2: Convert to fraction form
    104,103.16/143,662.32 = 56,356.47/x
  3. Step 3: Cross multiply
    104,103.16x = 143,662.32 × 56,356.47
  4. Step 4: Simplify right side
    104,103.16x = 8,096,301,227.21
  5. Step 5: Solve for x
    x = 8,096,301,227.21/104,103.16
  6. Step 6: Final answer
    x = 77,771.91

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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.