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Finding the Fourth Proportional to 223,047.20, 334,538.40 and 65,259.20

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Solution

The fourth proportional to 223,047.20, 334,538.40 and 65,259.20 is: 97,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,047.20 : 334,538.40 = 65,259.20 : x
  2. Step 2: Convert to fraction form
    223,047.20/334,538.40 = 65,259.20/x
  3. Step 3: Cross multiply
    223,047.20x = 334,538.40 × 65,259.20
  4. Step 4: Simplify right side
    223,047.20x = 21,831,708,353.28
  5. Step 5: Solve for x
    x = 21,831,708,353.28/223,047.20
  6. Step 6: Final answer
    x = 97,879.32

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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.