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Finding the Fourth Proportional to 162,894.50, 224,794.47 and 99,232.30

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Solution

The fourth proportional to 162,894.50, 224,794.47 and 99,232.30 is: 136,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,894.50 : 224,794.47 = 99,232.30 : x
  2. Step 2: Convert to fraction form
    162,894.50/224,794.47 = 99,232.30/x
  3. Step 3: Cross multiply
    162,894.50x = 224,794.47 × 99,232.30
  4. Step 4: Simplify right side
    162,894.50x = 22,306,871,723.39
  5. Step 5: Solve for x
    x = 22,306,871,723.39/162,894.50
  6. Step 6: Final answer
    x = 136,940.60

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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.