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Finding the Fourth Proportional to 105,228.90, 145,215.84 and 56,830.84

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Solution

The fourth proportional to 105,228.90, 145,215.84 and 56,830.84 is: 78,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,228.90 : 145,215.84 = 56,830.84 : x
  2. Step 2: Convert to fraction form
    105,228.90/145,215.84 = 56,830.84/x
  3. Step 3: Cross multiply
    105,228.90x = 145,215.84 × 56,830.84
  4. Step 4: Simplify right side
    105,228.90x = 8,252,738,340.85
  5. Step 5: Solve for x
    x = 8,252,738,340.85/105,228.90
  6. Step 6: Final answer
    x = 78,426.54

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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.