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Finding the Fourth Proportional to 103,820.38, 143,272.16 and 56,073.72

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Solution

The fourth proportional to 103,820.38, 143,272.16 and 56,073.72 is: 77,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,820.38 : 143,272.16 = 56,073.72 : x
  2. Step 2: Convert to fraction form
    103,820.38/143,272.16 = 56,073.72/x
  3. Step 3: Cross multiply
    103,820.38x = 143,272.16 × 56,073.72
  4. Step 4: Simplify right side
    103,820.38x = 8,033,802,983.64
  5. Step 5: Solve for x
    x = 8,033,802,983.64/103,820.38
  6. Step 6: Final answer
    x = 77,381.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.