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Finding the Fourth Proportional to 201,741.60, 302,655.60 and 61,514.40

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Solution

The fourth proportional to 201,741.60, 302,655.60 and 61,514.40 is: 92,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,741.60 : 302,655.60 = 61,514.40 : x
  2. Step 2: Convert to fraction form
    201,741.60/302,655.60 = 61,514.40/x
  3. Step 3: Cross multiply
    201,741.60x = 302,655.60 × 61,514.40
  4. Step 4: Simplify right side
    201,741.60x = 18,617,677,640.64
  5. Step 5: Solve for x
    x = 18,617,677,640.64/201,741.60
  6. Step 6: Final answer
    x = 92,284.77

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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.