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Finding the Fourth Proportional to 107,885.94, 148,813.11 and 71,586.60

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Solution

The fourth proportional to 107,885.94, 148,813.11 and 71,586.60 is: 98,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,885.94 : 148,813.11 = 71,586.60 : x
  2. Step 2: Convert to fraction form
    107,885.94/148,813.11 = 71,586.60/x
  3. Step 3: Cross multiply
    107,885.94x = 148,813.11 × 71,586.60
  4. Step 4: Simplify right side
    107,885.94x = 10,653,024,580.33
  5. Step 5: Solve for x
    x = 10,653,024,580.33/107,885.94
  6. Step 6: Final answer
    x = 98,743.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.