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Finding the Fourth Proportional to 201,528.96, 301,961.28 and 117,051.98

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Solution

The fourth proportional to 201,528.96, 301,961.28 and 117,051.98 is: 175,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,528.96 : 301,961.28 = 117,051.98 : x
  2. Step 2: Convert to fraction form
    201,528.96/301,961.28 = 117,051.98/x
  3. Step 3: Cross multiply
    201,528.96x = 301,961.28 × 117,051.98
  4. Step 4: Simplify right side
    201,528.96x = 35,345,165,999.96
  5. Step 5: Solve for x
    x = 35,345,165,999.96/201,528.96
  6. Step 6: Final answer
    x = 175,385.05

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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.