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Finding the Fourth Proportional to 102,071.84, 140,856.32 and 56,748.64

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Solution

The fourth proportional to 102,071.84, 140,856.32 and 56,748.64 is: 78,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.84 : 140,856.32 = 56,748.64 : x
  2. Step 2: Convert to fraction form
    102,071.84/140,856.32 = 56,748.64/x
  3. Step 3: Cross multiply
    102,071.84x = 140,856.32 × 56,748.64
  4. Step 4: Simplify right side
    102,071.84x = 7,993,404,595.40
  5. Step 5: Solve for x
    x = 7,993,404,595.40/102,071.84
  6. Step 6: Final answer
    x = 78,311.56

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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.