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Finding the Fourth Proportional to 201,646.04, 302,514.96 and 61,415.60

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Solution

The fourth proportional to 201,646.04, 302,514.96 and 61,415.60 is: 92,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646.04 : 302,514.96 = 61,415.60 : x
  2. Step 2: Convert to fraction form
    201,646.04/302,514.96 = 61,415.60/x
  3. Step 3: Cross multiply
    201,646.04x = 302,514.96 × 61,415.60
  4. Step 4: Simplify right side
    201,646.04x = 18,579,137,777.38
  5. Step 5: Solve for x
    x = 18,579,137,777.38/201,646.04
  6. Step 6: Final answer
    x = 92,137.38

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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.