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Finding the Fourth Proportional to 202,796.61, 304,237.79 and 76,434.18

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Solution

The fourth proportional to 202,796.61, 304,237.79 and 76,434.18 is: 114,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,796.61 : 304,237.79 = 76,434.18 : x
  2. Step 2: Convert to fraction form
    202,796.61/304,237.79 = 76,434.18/x
  3. Step 3: Cross multiply
    202,796.61x = 304,237.79 × 76,434.18
  4. Step 4: Simplify right side
    202,796.61x = 23,254,165,621.49
  5. Step 5: Solve for x
    x = 23,254,165,621.49/202,796.61
  6. Step 6: Final answer
    x = 114,667.43

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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.