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Finding the Fourth Proportional to 101,215, 139,676.71 and 56,503

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Solution

The fourth proportional to 101,215, 139,676.71 and 56,503 is: 77,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,215 : 139,676.71 = 56,503 : x
  2. Step 2: Convert to fraction form
    101,215/139,676.71 = 56,503/x
  3. Step 3: Cross multiply
    101,215x = 139,676.71 × 56,503
  4. Step 4: Simplify right side
    101,215x = 7,892,153,145.13
  5. Step 5: Solve for x
    x = 7,892,153,145.13/101,215
  6. Step 6: Final answer
    x = 77,974.15

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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.