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Finding the Fourth Proportional to 153,751.20, 230,650.56 and 65,005.08

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Solution

The fourth proportional to 153,751.20, 230,650.56 and 65,005.08 is: 97,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,751.20 : 230,650.56 = 65,005.08 : x
  2. Step 2: Convert to fraction form
    153,751.20/230,650.56 = 65,005.08/x
  3. Step 3: Cross multiply
    153,751.20x = 230,650.56 × 65,005.08
  4. Step 4: Simplify right side
    153,751.20x = 14,993,458,104.84
  5. Step 5: Solve for x
    x = 14,993,458,104.84/153,751.20
  6. Step 6: Final answer
    x = 97,517.67

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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.