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Finding the Fourth Proportional to 153,353.86, 230,033.86 and 41,033.90

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Solution

The fourth proportional to 153,353.86, 230,033.86 and 41,033.90 is: 61,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,353.86 : 230,033.86 = 41,033.90 : x
  2. Step 2: Convert to fraction form
    153,353.86/230,033.86 = 41,033.90/x
  3. Step 3: Cross multiply
    153,353.86x = 230,033.86 × 41,033.90
  4. Step 4: Simplify right side
    153,353.86x = 9,439,185,586.41
  5. Step 5: Solve for x
    x = 9,439,185,586.41/153,353.86
  6. Step 6: Final answer
    x = 61,551.67

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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.