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Finding the Fourth Proportional to 160,402, 221,404.05 and 92,464.39

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Solution

The fourth proportional to 160,402, 221,404.05 and 92,464.39 is: 127,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,402 : 221,404.05 = 92,464.39 : x
  2. Step 2: Convert to fraction form
    160,402/221,404.05 = 92,464.39/x
  3. Step 3: Cross multiply
    160,402x = 221,404.05 × 92,464.39
  4. Step 4: Simplify right side
    160,402x = 20,471,990,426.78
  5. Step 5: Solve for x
    x = 20,471,990,426.78/160,402
  6. Step 6: Final answer
    x = 127,629.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.