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Finding the Fourth Proportional to 201,714.10, 302,110.35 and 118,770.10

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Solution

The fourth proportional to 201,714.10, 302,110.35 and 118,770.10 is: 177,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.10 : 302,110.35 = 118,770.10 : x
  2. Step 2: Convert to fraction form
    201,714.10/302,110.35 = 118,770.10/x
  3. Step 3: Cross multiply
    201,714.10x = 302,110.35 × 118,770.10
  4. Step 4: Simplify right side
    201,714.10x = 35,881,676,480.54
  5. Step 5: Solve for x
    x = 35,881,676,480.54/201,714.10
  6. Step 6: Final answer
    x = 177,883.83

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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.