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Finding the Fourth Proportional to 153,758.54, 230,636.43 and 48,577.50

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Solution

The fourth proportional to 153,758.54, 230,636.43 and 48,577.50 is: 72,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,758.54 : 230,636.43 = 48,577.50 : x
  2. Step 2: Convert to fraction form
    153,758.54/230,636.43 = 48,577.50/x
  3. Step 3: Cross multiply
    153,758.54x = 230,636.43 × 48,577.50
  4. Step 4: Simplify right side
    153,758.54x = 11,203,741,178.33
  5. Step 5: Solve for x
    x = 11,203,741,178.33/153,758.54
  6. Step 6: Final answer
    x = 72,865.82

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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.