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Finding the Fourth Proportional to 116,224, 160,389.12 and 63,232

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Solution

The fourth proportional to 116,224, 160,389.12 and 63,232 is: 87,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,224 : 160,389.12 = 63,232 : x
  2. Step 2: Convert to fraction form
    116,224/160,389.12 = 63,232/x
  3. Step 3: Cross multiply
    116,224x = 160,389.12 × 63,232
  4. Step 4: Simplify right side
    116,224x = 10,141,724,835.84
  5. Step 5: Solve for x
    x = 10,141,724,835.84/116,224
  6. Step 6: Final answer
    x = 87,260.16

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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.