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Finding the Fourth Proportional to 201,654.30, 302,590.80 and 83,337.60

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Solution

The fourth proportional to 201,654.30, 302,590.80 and 83,337.60 is: 125,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,654.30 : 302,590.80 = 83,337.60 : x
  2. Step 2: Convert to fraction form
    201,654.30/302,590.80 = 83,337.60/x
  3. Step 3: Cross multiply
    201,654.30x = 302,590.80 × 83,337.60
  4. Step 4: Simplify right side
    201,654.30x = 25,217,191,054.08
  5. Step 5: Solve for x
    x = 25,217,191,054.08/201,654.30
  6. Step 6: Final answer
    x = 125,051.59

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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.