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Finding the Fourth Proportional to 105,156.80, 145,114.48 and 59,833.80

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Solution

The fourth proportional to 105,156.80, 145,114.48 and 59,833.80 is: 82,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,156.80 : 145,114.48 = 59,833.80 : x
  2. Step 2: Convert to fraction form
    105,156.80/145,114.48 = 59,833.80/x
  3. Step 3: Cross multiply
    105,156.80x = 145,114.48 × 59,833.80
  4. Step 4: Simplify right side
    105,156.80x = 8,682,750,773.42
  5. Step 5: Solve for x
    x = 8,682,750,773.42/105,156.80
  6. Step 6: Final answer
    x = 82,569.56

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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.