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Finding the Fourth Proportional to 130,223.95, 179,732.09 and 76,508.96

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Solution

The fourth proportional to 130,223.95, 179,732.09 and 76,508.96 is: 105,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,223.95 : 179,732.09 = 76,508.96 : x
  2. Step 2: Convert to fraction form
    130,223.95/179,732.09 = 76,508.96/x
  3. Step 3: Cross multiply
    130,223.95x = 179,732.09 × 76,508.96
  4. Step 4: Simplify right side
    130,223.95x = 13,751,114,361.96
  5. Step 5: Solve for x
    x = 13,751,114,361.96/130,223.95
  6. Step 6: Final answer
    x = 105,595.89

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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.