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Finding the Fourth Proportional to 130,284.94, 195,132.12 and 102,028.90

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Solution

The fourth proportional to 130,284.94, 195,132.12 and 102,028.90 is: 152,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,284.94 : 195,132.12 = 102,028.90 : x
  2. Step 2: Convert to fraction form
    130,284.94/195,132.12 = 102,028.90/x
  3. Step 3: Cross multiply
    130,284.94x = 195,132.12 × 102,028.90
  4. Step 4: Simplify right side
    130,284.94x = 19,909,115,558.27
  5. Step 5: Solve for x
    x = 19,909,115,558.27/130,284.94
  6. Step 6: Final answer
    x = 152,812.10

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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.