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Finding the Fourth Proportional to 202,057.51, 302,627.46 and 156,714.88

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Solution

The fourth proportional to 202,057.51, 302,627.46 and 156,714.88 is: 234,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,057.51 : 302,627.46 = 156,714.88 : x
  2. Step 2: Convert to fraction form
    202,057.51/302,627.46 = 156,714.88/x
  3. Step 3: Cross multiply
    202,057.51x = 302,627.46 × 156,714.88
  4. Step 4: Simplify right side
    202,057.51x = 47,426,226,078.60
  5. Step 5: Solve for x
    x = 47,426,226,078.60/202,057.51
  6. Step 6: Final answer
    x = 234,716.47

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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.