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Finding the Fourth Proportional to 153,796.32, 230,765.76 and 65,070.54

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Solution

The fourth proportional to 153,796.32, 230,765.76 and 65,070.54 is: 97,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,796.32 : 230,765.76 = 65,070.54 : x
  2. Step 2: Convert to fraction form
    153,796.32/230,765.76 = 65,070.54/x
  3. Step 3: Cross multiply
    153,796.32x = 230,765.76 × 65,070.54
  4. Step 4: Simplify right side
    153,796.32x = 15,016,052,616.71
  5. Step 5: Solve for x
    x = 15,016,052,616.71/153,796.32
  6. Step 6: Final answer
    x = 97,635.97

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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.