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Finding the Fourth Proportional to 279,633.60, 385,896.24 and 152,308.08

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Solution

The fourth proportional to 279,633.60, 385,896.24 and 152,308.08 is: 210,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,633.60 : 385,896.24 = 152,308.08 : x
  2. Step 2: Convert to fraction form
    279,633.60/385,896.24 = 152,308.08/x
  3. Step 3: Cross multiply
    279,633.60x = 385,896.24 × 152,308.08
  4. Step 4: Simplify right side
    279,633.60x = 58,775,115,393.62
  5. Step 5: Solve for x
    x = 58,775,115,393.62/279,633.60
  6. Step 6: Final answer
    x = 210,186.17

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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.