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Finding the Fourth Proportional to 202,695.60, 304,043.40 and 118,714.80

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Solution

The fourth proportional to 202,695.60, 304,043.40 and 118,714.80 is: 178,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,695.60 : 304,043.40 = 118,714.80 : x
  2. Step 2: Convert to fraction form
    202,695.60/304,043.40 = 118,714.80/x
  3. Step 3: Cross multiply
    202,695.60x = 304,043.40 × 118,714.80
  4. Step 4: Simplify right side
    202,695.60x = 36,094,451,422.32
  5. Step 5: Solve for x
    x = 36,094,451,422.32/202,695.60
  6. Step 6: Final answer
    x = 178,072.20

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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.