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Finding the Fourth Proportional to 153,858.83, 230,765.15 and 48,664.13

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Solution

The fourth proportional to 153,858.83, 230,765.15 and 48,664.13 is: 72,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,858.83 : 230,765.15 = 48,664.13 : x
  2. Step 2: Convert to fraction form
    153,858.83/230,765.15 = 48,664.13/x
  3. Step 3: Cross multiply
    153,858.83x = 230,765.15 × 48,664.13
  4. Step 4: Simplify right side
    153,858.83x = 11,229,984,226.90
  5. Step 5: Solve for x
    x = 11,229,984,226.90/153,858.83
  6. Step 6: Final answer
    x = 72,988.89

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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.