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Finding the Fourth Proportional to 113,224.40, 169,829.40 and 43,102.16

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Solution

The fourth proportional to 113,224.40, 169,829.40 and 43,102.16 is: 64,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224.40 : 169,829.40 = 43,102.16 : x
  2. Step 2: Convert to fraction form
    113,224.40/169,829.40 = 43,102.16/x
  3. Step 3: Cross multiply
    113,224.40x = 169,829.40 × 43,102.16
  4. Step 4: Simplify right side
    113,224.40x = 7,320,013,971.50
  5. Step 5: Solve for x
    x = 7,320,013,971.50/113,224.40
  6. Step 6: Final answer
    x = 64,650.50

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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.