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Finding the Fourth Proportional to 201,549.96, 302,290.94 and 57,445.64

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Solution

The fourth proportional to 201,549.96, 302,290.94 and 57,445.64 is: 86,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,549.96 : 302,290.94 = 57,445.64 : x
  2. Step 2: Convert to fraction form
    201,549.96/302,290.94 = 57,445.64/x
  3. Step 3: Cross multiply
    201,549.96x = 302,290.94 × 57,445.64
  4. Step 4: Simplify right side
    201,549.96x = 17,365,296,514.50
  5. Step 5: Solve for x
    x = 17,365,296,514.50/201,549.96
  6. Step 6: Final answer
    x = 86,158.77

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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.