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Finding the Fourth Proportional to 105,343.46, 145,374.30 and 57,597.60

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Solution

The fourth proportional to 105,343.46, 145,374.30 and 57,597.60 is: 79,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,343.46 : 145,374.30 = 57,597.60 : x
  2. Step 2: Convert to fraction form
    105,343.46/145,374.30 = 57,597.60/x
  3. Step 3: Cross multiply
    105,343.46x = 145,374.30 × 57,597.60
  4. Step 4: Simplify right side
    105,343.46x = 8,373,210,781.68
  5. Step 5: Solve for x
    x = 8,373,210,781.68/105,343.46
  6. Step 6: Final answer
    x = 79,484.87

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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.