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Finding the Fourth Proportional to 153,693.82, 230,485.20 and 64,954.24

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Solution

The fourth proportional to 153,693.82, 230,485.20 and 64,954.24 is: 97,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,693.82 : 230,485.20 = 64,954.24 : x
  2. Step 2: Convert to fraction form
    153,693.82/230,485.20 = 64,954.24/x
  3. Step 3: Cross multiply
    153,693.82x = 230,485.20 × 64,954.24
  4. Step 4: Simplify right side
    153,693.82x = 14,970,991,149.82
  5. Step 5: Solve for x
    x = 14,970,991,149.82/153,693.82
  6. Step 6: Final answer
    x = 97,407.89

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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.