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Finding the Fourth Proportional to 153,819.30, 230,728.95 and 65,043.30

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Solution

The fourth proportional to 153,819.30, 230,728.95 and 65,043.30 is: 97,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,819.30 : 230,728.95 = 65,043.30 : x
  2. Step 2: Convert to fraction form
    153,819.30/230,728.95 = 65,043.30/x
  3. Step 3: Cross multiply
    153,819.30x = 230,728.95 × 65,043.30
  4. Step 4: Simplify right side
    153,819.30x = 15,007,372,313.54
  5. Step 5: Solve for x
    x = 15,007,372,313.54/153,819.30
  6. Step 6: Final answer
    x = 97,564.95

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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.