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Finding the Fourth Proportional to 130,287.50, 195,464.94 and 76,297.77

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Solution

The fourth proportional to 130,287.50, 195,464.94 and 76,297.77 is: 114,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,287.50 : 195,464.94 = 76,297.77 : x
  2. Step 2: Convert to fraction form
    130,287.50/195,464.94 = 76,297.77/x
  3. Step 3: Cross multiply
    130,287.50x = 195,464.94 × 76,297.77
  4. Step 4: Simplify right side
    130,287.50x = 14,913,539,035.18
  5. Step 5: Solve for x
    x = 14,913,539,035.18/130,287.50
  6. Step 6: Final answer
    x = 114,466.39

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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.