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Finding the Fourth Proportional to 130,167.84, 195,028.85 and 71,045

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Solution

The fourth proportional to 130,167.84, 195,028.85 and 71,045 is: 106,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,167.84 : 195,028.85 = 71,045 : x
  2. Step 2: Convert to fraction form
    130,167.84/195,028.85 = 71,045/x
  3. Step 3: Cross multiply
    130,167.84x = 195,028.85 × 71,045
  4. Step 4: Simplify right side
    130,167.84x = 13,855,824,648.25
  5. Step 5: Solve for x
    x = 13,855,824,648.25/130,167.84
  6. Step 6: Final answer
    x = 106,445.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.