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Finding the Fourth Proportional to 105,149.34, 145,105.95 and 67,423.50

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Solution

The fourth proportional to 105,149.34, 145,105.95 and 67,423.50 is: 93,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,149.34 : 145,105.95 = 67,423.50 : x
  2. Step 2: Convert to fraction form
    105,149.34/145,105.95 = 67,423.50/x
  3. Step 3: Cross multiply
    105,149.34x = 145,105.95 × 67,423.50
  4. Step 4: Simplify right side
    105,149.34x = 9,783,551,019.83
  5. Step 5: Solve for x
    x = 9,783,551,019.83/105,149.34
  6. Step 6: Final answer
    x = 93,044.34

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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.