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Finding the Fourth Proportional to 130,284.96, 195,438.96 and 71,095.20

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Solution

The fourth proportional to 130,284.96, 195,438.96 and 71,095.20 is: 106,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284.96 : 195,438.96 = 71,095.20 : x
  2. Step 2: Convert to fraction form
    130,284.96/195,438.96 = 71,095.20/x
  3. Step 3: Cross multiply
    130,284.96x = 195,438.96 × 71,095.20
  4. Step 4: Simplify right side
    130,284.96x = 13,894,771,948.99
  5. Step 5: Solve for x
    x = 13,894,771,948.99/130,284.96
  6. Step 6: Final answer
    x = 106,649.09

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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.