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Finding the Fourth Proportional to 115,224, 159,009.18 and 62,232

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Solution

The fourth proportional to 115,224, 159,009.18 and 62,232 is: 85,880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,224 : 159,009.18 = 62,232 : x
  2. Step 2: Convert to fraction form
    115,224/159,009.18 = 62,232/x
  3. Step 3: Cross multiply
    115,224x = 159,009.18 × 62,232
  4. Step 4: Simplify right side
    115,224x = 9,895,459,289.76
  5. Step 5: Solve for x
    x = 9,895,459,289.76/115,224
  6. Step 6: Final answer
    x = 85,880.19

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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.