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Finding the Fourth Proportional to 205,397.02, 283,442.67 and 114,753.67

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Solution

The fourth proportional to 205,397.02, 283,442.67 and 114,753.67 is: 158,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,397.02 : 283,442.67 = 114,753.67 : x
  2. Step 2: Convert to fraction form
    205,397.02/283,442.67 = 114,753.67/x
  3. Step 3: Cross multiply
    205,397.02x = 283,442.67 × 114,753.67
  4. Step 4: Simplify right side
    205,397.02x = 32,526,084,626.12
  5. Step 5: Solve for x
    x = 32,526,084,626.12/205,397.02
  6. Step 6: Final answer
    x = 158,357.14

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Why These Related Problems?

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