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Finding the Fourth Proportional to 153,903.28, 230,879.16 and 65,157.28

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Solution

The fourth proportional to 153,903.28, 230,879.16 and 65,157.28 is: 97,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,903.28 : 230,879.16 = 65,157.28 : x
  2. Step 2: Convert to fraction form
    153,903.28/230,879.16 = 65,157.28/x
  3. Step 3: Cross multiply
    153,903.28x = 230,879.16 × 65,157.28
  4. Step 4: Simplify right side
    153,903.28x = 15,043,458,074.28
  5. Step 5: Solve for x
    x = 15,043,458,074.28/153,903.28
  6. Step 6: Final answer
    x = 97,746.18

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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.