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Finding the Fourth Proportional to 205,168.12, 283,146.24 and 114,541.90

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Solution

The fourth proportional to 205,168.12, 283,146.24 and 114,541.90 is: 158,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.12 : 283,146.24 = 114,541.90 : x
  2. Step 2: Convert to fraction form
    205,168.12/283,146.24 = 114,541.90/x
  3. Step 3: Cross multiply
    205,168.12x = 283,146.24 × 114,541.90
  4. Step 4: Simplify right side
    205,168.12x = 32,432,108,307.46
  5. Step 5: Solve for x
    x = 32,432,108,307.46/205,168.12
  6. Step 6: Final answer
    x = 158,075.77

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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.