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Finding the Fourth Proportional to 153,396.56, 230,104.76 and 48,219.60

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Solution

The fourth proportional to 153,396.56, 230,104.76 and 48,219.60 is: 72,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,396.56 : 230,104.76 = 48,219.60 : x
  2. Step 2: Convert to fraction form
    153,396.56/230,104.76 = 48,219.60/x
  3. Step 3: Cross multiply
    153,396.56x = 230,104.76 × 48,219.60
  4. Step 4: Simplify right side
    153,396.56x = 11,095,559,485.30
  5. Step 5: Solve for x
    x = 11,095,559,485.30/153,396.56
  6. Step 6: Final answer
    x = 72,332.52

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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.