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Finding the Fourth Proportional to 223,232.46, 334,851.39 and 65,464.11

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Solution

The fourth proportional to 223,232.46, 334,851.39 and 65,464.11 is: 98,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,232.46 : 334,851.39 = 65,464.11 : x
  2. Step 2: Convert to fraction form
    223,232.46/334,851.39 = 65,464.11/x
  3. Step 3: Cross multiply
    223,232.46x = 334,851.39 × 65,464.11
  4. Step 4: Simplify right side
    223,232.46x = 21,920,748,228.61
  5. Step 5: Solve for x
    x = 21,920,748,228.61/223,232.46
  6. Step 6: Final answer
    x = 98,196.96

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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.