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Finding the Fourth Proportional to 222,981.72, 334,523.64 and 96,643.20

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Solution

The fourth proportional to 222,981.72, 334,523.64 and 96,643.20 is: 144,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,981.72 : 334,523.64 = 96,643.20 : x
  2. Step 2: Convert to fraction form
    222,981.72/334,523.64 = 96,643.20/x
  3. Step 3: Cross multiply
    222,981.72x = 334,523.64 × 96,643.20
  4. Step 4: Simplify right side
    222,981.72x = 32,329,435,045.25
  5. Step 5: Solve for x
    x = 32,329,435,045.25/222,981.72
  6. Step 6: Final answer
    x = 144,986.93

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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.