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Finding the Fourth Proportional to 205,356.45, 283,390.70 and 114,712.14

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Solution

The fourth proportional to 205,356.45, 283,390.70 and 114,712.14 is: 158,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,356.45 : 283,390.70 = 114,712.14 : x
  2. Step 2: Convert to fraction form
    205,356.45/283,390.70 = 114,712.14/x
  3. Step 3: Cross multiply
    205,356.45x = 283,390.70 × 114,712.14
  4. Step 4: Simplify right side
    205,356.45x = 32,508,353,653.10
  5. Step 5: Solve for x
    x = 32,508,353,653.10/205,356.45
  6. Step 6: Final answer
    x = 158,302.08

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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.