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Finding the Fourth Proportional to 113,224.16, 169,840.02 and 50,894.84

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Solution

The fourth proportional to 113,224.16, 169,840.02 and 50,894.84 is: 76,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224.16 : 169,840.02 = 50,894.84 : x
  2. Step 2: Convert to fraction form
    113,224.16/169,840.02 = 50,894.84/x
  3. Step 3: Cross multiply
    113,224.16x = 169,840.02 × 50,894.84
  4. Step 4: Simplify right side
    113,224.16x = 8,643,980,643.50
  5. Step 5: Solve for x
    x = 8,643,980,643.50/113,224.16
  6. Step 6: Final answer
    x = 76,343.96

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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.