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Finding the Fourth Proportional to 105,205.68, 145,181.59 and 57,459.22

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Solution

The fourth proportional to 105,205.68, 145,181.59 and 57,459.22 is: 79,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,205.68 : 145,181.59 = 57,459.22 : x
  2. Step 2: Convert to fraction form
    105,205.68/145,181.59 = 57,459.22/x
  3. Step 3: Cross multiply
    105,205.68x = 145,181.59 × 57,459.22
  4. Step 4: Simplify right side
    105,205.68x = 8,342,020,919.76
  5. Step 5: Solve for x
    x = 8,342,020,919.76/105,205.68
  6. Step 6: Final answer
    x = 79,292.50

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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.