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Finding the Fourth Proportional to 201,468.10, 301,837.65 and 96,054.70

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Solution

The fourth proportional to 201,468.10, 301,837.65 and 96,054.70 is: 143,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,468.10 : 301,837.65 = 96,054.70 : x
  2. Step 2: Convert to fraction form
    201,468.10/301,837.65 = 96,054.70/x
  3. Step 3: Cross multiply
    201,468.10x = 301,837.65 × 96,054.70
  4. Step 4: Simplify right side
    201,468.10x = 28,992,924,919.46
  5. Step 5: Solve for x
    x = 28,992,924,919.46/201,468.10
  6. Step 6: Final answer
    x = 143,908.27

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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.