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Finding the Fourth Proportional to 205,114.14, 283,071.70 and 114,487.74

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Solution

The fourth proportional to 205,114.14, 283,071.70 and 114,487.74 is: 158,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,114.14 : 283,071.70 = 114,487.74 : x
  2. Step 2: Convert to fraction form
    205,114.14/283,071.70 = 114,487.74/x
  3. Step 3: Cross multiply
    205,114.14x = 283,071.70 × 114,487.74
  4. Step 4: Simplify right side
    205,114.14x = 32,408,239,190.96
  5. Step 5: Solve for x
    x = 32,408,239,190.96/205,114.14
  6. Step 6: Final answer
    x = 158,001.00

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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.