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Finding the Fourth Proportional to 102,162.95, 140,981.32 and 56,218.30

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Solution

The fourth proportional to 102,162.95, 140,981.32 and 56,218.30 is: 77,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,162.95 : 140,981.32 = 56,218.30 : x
  2. Step 2: Convert to fraction form
    102,162.95/140,981.32 = 56,218.30/x
  3. Step 3: Cross multiply
    102,162.95x = 140,981.32 × 56,218.30
  4. Step 4: Simplify right side
    102,162.95x = 7,925,729,649.16
  5. Step 5: Solve for x
    x = 7,925,729,649.16/102,162.95
  6. Step 6: Final answer
    x = 77,579.30

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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.