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Finding the Fourth Proportional to 224,756.82, 310,173.86 and 129,263.61

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Solution

The fourth proportional to 224,756.82, 310,173.86 and 129,263.61 is: 178,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,756.82 : 310,173.86 = 129,263.61 : x
  2. Step 2: Convert to fraction form
    224,756.82/310,173.86 = 129,263.61/x
  3. Step 3: Cross multiply
    224,756.82x = 310,173.86 × 129,263.61
  4. Step 4: Simplify right side
    224,756.82x = 40,094,192,871.23
  5. Step 5: Solve for x
    x = 40,094,192,871.23/224,756.82
  6. Step 6: Final answer
    x = 178,389.22

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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.