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Finding the Fourth Proportional to 161,732, 223,190.16 and 94,664

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Solution

The fourth proportional to 161,732, 223,190.16 and 94,664 is: 130,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,732 : 223,190.16 = 94,664 : x
  2. Step 2: Convert to fraction form
    161,732/223,190.16 = 94,664/x
  3. Step 3: Cross multiply
    161,732x = 223,190.16 × 94,664
  4. Step 4: Simplify right side
    161,732x = 21,128,073,306.24
  5. Step 5: Solve for x
    x = 21,128,073,306.24/161,732
  6. Step 6: Final answer
    x = 130,636.32

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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.