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Finding the Fourth Proportional to 201,429.10, 301,779.15 and 96,015.70

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Solution

The fourth proportional to 201,429.10, 301,779.15 and 96,015.70 is: 143,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429.10 : 301,779.15 = 96,015.70 : x
  2. Step 2: Convert to fraction form
    201,429.10/301,779.15 = 96,015.70/x
  3. Step 3: Cross multiply
    201,429.10x = 301,779.15 × 96,015.70
  4. Step 4: Simplify right side
    201,429.10x = 28,975,536,332.66
  5. Step 5: Solve for x
    x = 28,975,536,332.66/201,429.10
  6. Step 6: Final answer
    x = 143,849.80

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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.