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Finding the Fourth Proportional to 105,284.84, 145,295 and 57,540.20

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Solution

The fourth proportional to 105,284.84, 145,295 and 57,540.20 is: 79,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,284.84 : 145,295 = 57,540.20 : x
  2. Step 2: Convert to fraction form
    105,284.84/145,295 = 57,540.20/x
  3. Step 3: Cross multiply
    105,284.84x = 145,295 × 57,540.20
  4. Step 4: Simplify right side
    105,284.84x = 8,360,303,359
  5. Step 5: Solve for x
    x = 8,360,303,359/105,284.84
  6. Step 6: Final answer
    x = 79,406.53

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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.