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Finding the Fourth Proportional to 145,834, 201,250.96 and 78,766

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Solution

The fourth proportional to 145,834, 201,250.96 and 78,766 is: 108,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,834 : 201,250.96 = 78,766 : x
  2. Step 2: Convert to fraction form
    145,834/201,250.96 = 78,766/x
  3. Step 3: Cross multiply
    145,834x = 201,250.96 × 78,766
  4. Step 4: Simplify right side
    145,834x = 15,851,733,115.36
  5. Step 5: Solve for x
    x = 15,851,733,115.36/145,834
  6. Step 6: Final answer
    x = 108,697.10

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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.