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Finding the Fourth Proportional to 201,567.86, 302,164.60 and 89,188.06

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Solution

The fourth proportional to 201,567.86, 302,164.60 and 89,188.06 is: 133,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,567.86 : 302,164.60 = 89,188.06 : x
  2. Step 2: Convert to fraction form
    201,567.86/302,164.60 = 89,188.06/x
  3. Step 3: Cross multiply
    201,567.86x = 302,164.60 × 89,188.06
  4. Step 4: Simplify right side
    201,567.86x = 26,949,474,474.68
  5. Step 5: Solve for x
    x = 26,949,474,474.68/201,567.86
  6. Step 6: Final answer
    x = 133,699.26

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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.