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Finding the Fourth Proportional to 105,308.66, 145,326.02 and 57,562

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Solution

The fourth proportional to 105,308.66, 145,326.02 and 57,562 is: 79,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,308.66 : 145,326.02 = 57,562 : x
  2. Step 2: Convert to fraction form
    105,308.66/145,326.02 = 57,562/x
  3. Step 3: Cross multiply
    105,308.66x = 145,326.02 × 57,562
  4. Step 4: Simplify right side
    105,308.66x = 8,365,256,363.24
  5. Step 5: Solve for x
    x = 8,365,256,363.24/105,308.66
  6. Step 6: Final answer
    x = 79,435.60

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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.