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Finding the Fourth Proportional to 153,765.52, 230,646.90 and 48,584.50

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Solution

The fourth proportional to 153,765.52, 230,646.90 and 48,584.50 is: 72,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765.52 : 230,646.90 = 48,584.50 : x
  2. Step 2: Convert to fraction form
    153,765.52/230,646.90 = 48,584.50/x
  3. Step 3: Cross multiply
    153,765.52x = 230,646.90 × 48,584.50
  4. Step 4: Simplify right side
    153,765.52x = 11,205,864,313.05
  5. Step 5: Solve for x
    x = 11,205,864,313.05/153,765.52
  6. Step 6: Final answer
    x = 72,876.31

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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.