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Finding the Fourth Proportional to 203,133.40, 304,728.42 and 84,777.64

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Solution

The fourth proportional to 203,133.40, 304,728.42 and 84,777.64 is: 127,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,133.40 : 304,728.42 = 84,777.64 : x
  2. Step 2: Convert to fraction form
    203,133.40/304,728.42 = 84,777.64/x
  3. Step 3: Cross multiply
    203,133.40x = 304,728.42 × 84,777.64
  4. Step 4: Simplify right side
    203,133.40x = 25,834,156,288.53
  5. Step 5: Solve for x
    x = 25,834,156,288.53/203,133.40
  6. Step 6: Final answer
    x = 127,178.28

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1.5x scale

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.