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Finding the Fourth Proportional to 185,714.69, 255,712.43 and 145,043.11

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Solution

The fourth proportional to 185,714.69, 255,712.43 and 145,043.11 is: 199,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,714.69 : 255,712.43 = 145,043.11 : x
  2. Step 2: Convert to fraction form
    185,714.69/255,712.43 = 145,043.11/x
  3. Step 3: Cross multiply
    185,714.69x = 255,712.43 × 145,043.11
  4. Step 4: Simplify right side
    185,714.69x = 37,089,326,112.86
  5. Step 5: Solve for x
    x = 37,089,326,112.86/185,714.69
  6. Step 6: Final answer
    x = 199,711.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.