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Finding the Fourth Proportional to 201,645.96, 302,268.60 and 96,342

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Solution

The fourth proportional to 201,645.96, 302,268.60 and 96,342 is: 144,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.96 : 302,268.60 = 96,342 : x
  2. Step 2: Convert to fraction form
    201,645.96/302,268.60 = 96,342/x
  3. Step 3: Cross multiply
    201,645.96x = 302,268.60 × 96,342
  4. Step 4: Simplify right side
    201,645.96x = 29,121,161,461.20
  5. Step 5: Solve for x
    x = 29,121,161,461.20/201,645.96
  6. Step 6: Final answer
    x = 144,417.28

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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.