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Finding the Fourth Proportional to 223,415.76, 335,148.24 and 65,656.50

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Solution

The fourth proportional to 223,415.76, 335,148.24 and 65,656.50 is: 98,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,415.76 : 335,148.24 = 65,656.50 : x
  2. Step 2: Convert to fraction form
    223,415.76/335,148.24 = 65,656.50/x
  3. Step 3: Cross multiply
    223,415.76x = 335,148.24 × 65,656.50
  4. Step 4: Simplify right side
    223,415.76x = 22,004,660,419.56
  5. Step 5: Solve for x
    x = 22,004,660,419.56/223,415.76
  6. Step 6: Final answer
    x = 98,491.98

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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.