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Finding the Fourth Proportional to 105,379.90, 145,423.94 and 56,981.49

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Solution

The fourth proportional to 105,379.90, 145,423.94 and 56,981.49 is: 78,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,379.90 : 145,423.94 = 56,981.49 : x
  2. Step 2: Convert to fraction form
    105,379.90/145,423.94 = 56,981.49/x
  3. Step 3: Cross multiply
    105,379.90x = 145,423.94 × 56,981.49
  4. Step 4: Simplify right side
    105,379.90x = 8,286,473,091.15
  5. Step 5: Solve for x
    x = 8,286,473,091.15/105,379.90
  6. Step 6: Final answer
    x = 78,634.29

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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.