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Finding the Fourth Proportional to 105,652.96, 158,676.88 and 93,007.24

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Solution

The fourth proportional to 105,652.96, 158,676.88 and 93,007.24 is: 139,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.96 : 158,676.88 = 93,007.24 : x
  2. Step 2: Convert to fraction form
    105,652.96/158,676.88 = 93,007.24/x
  3. Step 3: Cross multiply
    105,652.96x = 158,676.88 × 93,007.24
  4. Step 4: Simplify right side
    105,652.96x = 14,758,098,660.61
  5. Step 5: Solve for x
    x = 14,758,098,660.61/105,652.96
  6. Step 6: Final answer
    x = 139,684.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.