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Finding the Fourth Proportional to 138,153.80, 207,384.30 and 85,622.60

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Solution

The fourth proportional to 138,153.80, 207,384.30 and 85,622.60 is: 128,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153.80 : 207,384.30 = 85,622.60 : x
  2. Step 2: Convert to fraction form
    138,153.80/207,384.30 = 85,622.60/x
  3. Step 3: Cross multiply
    138,153.80x = 207,384.30 × 85,622.60
  4. Step 4: Simplify right side
    138,153.80x = 17,756,782,965.18
  5. Step 5: Solve for x
    x = 17,756,782,965.18/138,153.80
  6. Step 6: Final answer
    x = 128,529.10

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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.