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Finding the Fourth Proportional to 103,929.09, 143,422.25 and 56,182.44

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Solution

The fourth proportional to 103,929.09, 143,422.25 and 56,182.44 is: 77,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,929.09 : 143,422.25 = 56,182.44 : x
  2. Step 2: Convert to fraction form
    103,929.09/143,422.25 = 56,182.44/x
  3. Step 3: Cross multiply
    103,929.09x = 143,422.25 × 56,182.44
  4. Step 4: Simplify right side
    103,929.09x = 8,057,811,674.38
  5. Step 5: Solve for x
    x = 8,057,811,674.38/103,929.09
  6. Step 6: Final answer
    x = 77,531.82

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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.