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Finding the Fourth Proportional to 201,567.60, 302,419.71 and 89,232.30

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Solution

The fourth proportional to 201,567.60, 302,419.71 and 89,232.30 is: 133,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,567.60 : 302,419.71 = 89,232.30 : x
  2. Step 2: Convert to fraction form
    201,567.60/302,419.71 = 89,232.30/x
  3. Step 3: Cross multiply
    201,567.60x = 302,419.71 × 89,232.30
  4. Step 4: Simplify right side
    201,567.60x = 26,985,606,288.63
  5. Step 5: Solve for x
    x = 26,985,606,288.63/201,567.60
  6. Step 6: Final answer
    x = 133,878.69

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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.