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Finding the Fourth Proportional to 214,090.80, 295,384.98 and 123,439.64

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Solution

The fourth proportional to 214,090.80, 295,384.98 and 123,439.64 is: 170,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,090.80 : 295,384.98 = 123,439.64 : x
  2. Step 2: Convert to fraction form
    214,090.80/295,384.98 = 123,439.64/x
  3. Step 3: Cross multiply
    214,090.80x = 295,384.98 × 123,439.64
  4. Step 4: Simplify right side
    214,090.80x = 36,462,215,592.61
  5. Step 5: Solve for x
    x = 36,462,215,592.61/214,090.80
  6. Step 6: Final answer
    x = 170,311.92

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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.