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Finding the Fourth Proportional to 299,036.16, 447,911.04 and 141,027.84

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Solution

The fourth proportional to 299,036.16, 447,911.04 and 141,027.84 is: 211,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,036.16 : 447,911.04 = 141,027.84 : x
  2. Step 2: Convert to fraction form
    299,036.16/447,911.04 = 141,027.84/x
  3. Step 3: Cross multiply
    299,036.16x = 447,911.04 × 141,027.84
  4. Step 4: Simplify right side
    299,036.16x = 63,167,926,483.35
  5. Step 5: Solve for x
    x = 63,167,926,483.35/299,036.16
  6. Step 6: Final answer
    x = 211,238.42

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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.