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Finding the Fourth Proportional to 224,762.70, 310,359.15 and 149,652.30

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Solution

The fourth proportional to 224,762.70, 310,359.15 and 149,652.30 is: 206,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,762.70 : 310,359.15 = 149,652.30 : x
  2. Step 2: Convert to fraction form
    224,762.70/310,359.15 = 149,652.30/x
  3. Step 3: Cross multiply
    224,762.70x = 310,359.15 × 149,652.30
  4. Step 4: Simplify right side
    224,762.70x = 46,445,960,623.55
  5. Step 5: Solve for x
    x = 46,445,960,623.55/224,762.70
  6. Step 6: Final answer
    x = 206,644.43

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1.5x scale

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.