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Finding the Fourth Proportional to 130,898, 196,347 and 32,402

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Solution

The fourth proportional to 130,898, 196,347 and 32,402 is: 48,603

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,898 : 196,347 = 32,402 : x
  2. Step 2: Convert to fraction form
    130,898/196,347 = 32,402/x
  3. Step 3: Cross multiply
    130,898x = 196,347 × 32,402
  4. Step 4: Simplify right side
    130,898x = 6,362,035,494
  5. Step 5: Solve for x
    x = 6,362,035,494/130,898
  6. Step 6: Final answer
    x = 48,603

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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.