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Finding the Fourth Proportional to 104,470.71, 144,167.29 and 56,723.64

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Solution

The fourth proportional to 104,470.71, 144,167.29 and 56,723.64 is: 78,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,470.71 : 144,167.29 = 56,723.64 : x
  2. Step 2: Convert to fraction form
    104,470.71/144,167.29 = 56,723.64/x
  3. Step 3: Cross multiply
    104,470.71x = 144,167.29 × 56,723.64
  4. Step 4: Simplify right side
    104,470.71x = 8,177,693,457.74
  5. Step 5: Solve for x
    x = 8,177,693,457.74/104,470.71
  6. Step 6: Final answer
    x = 78,277.38

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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.