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Finding the Fourth Proportional to 205,756.61, 283,937.60 and 115,114.16

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Solution

The fourth proportional to 205,756.61, 283,937.60 and 115,114.16 is: 158,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,756.61 : 283,937.60 = 115,114.16 : x
  2. Step 2: Convert to fraction form
    205,756.61/283,937.60 = 115,114.16/x
  3. Step 3: Cross multiply
    205,756.61x = 283,937.60 × 115,114.16
  4. Step 4: Simplify right side
    205,756.61x = 32,685,239,314.05
  5. Step 5: Solve for x
    x = 32,685,239,314.05/205,756.61
  6. Step 6: Final answer
    x = 158,853.90

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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.