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Finding the Fourth Proportional to 103,930.97, 143,424.84 and 56,184.32

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Solution

The fourth proportional to 103,930.97, 143,424.84 and 56,184.32 is: 77,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,930.97 : 143,424.84 = 56,184.32 : x
  2. Step 2: Convert to fraction form
    103,930.97/143,424.84 = 56,184.32/x
  3. Step 3: Cross multiply
    103,930.97x = 143,424.84 × 56,184.32
  4. Step 4: Simplify right side
    103,930.97x = 8,058,226,389.38
  5. Step 5: Solve for x
    x = 8,058,226,389.38/103,930.97
  6. Step 6: Final answer
    x = 77,534.41

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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.