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Finding the Fourth Proportional to 102,056.58, 140,837.32 and 56,738.70

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Solution

The fourth proportional to 102,056.58, 140,837.32 and 56,738.70 is: 78,298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.58 : 140,837.32 = 56,738.70 : x
  2. Step 2: Convert to fraction form
    102,056.58/140,837.32 = 56,738.70/x
  3. Step 3: Cross multiply
    102,056.58x = 140,837.32 × 56,738.70
  4. Step 4: Simplify right side
    102,056.58x = 7,990,926,448.28
  5. Step 5: Solve for x
    x = 7,990,926,448.28/102,056.58
  6. Step 6: Final answer
    x = 78,298.98

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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.