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Finding the Fourth Proportional to 205,417.32, 283,465.56 and 114,755.28

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Solution

The fourth proportional to 205,417.32, 283,465.56 and 114,755.28 is: 158,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,417.32 : 283,465.56 = 114,755.28 : x
  2. Step 2: Convert to fraction form
    205,417.32/283,465.56 = 114,755.28/x
  3. Step 3: Cross multiply
    205,417.32x = 283,465.56 × 114,755.28
  4. Step 4: Simplify right side
    205,417.32x = 32,529,169,708.16
  5. Step 5: Solve for x
    x = 32,529,169,708.16/205,417.32
  6. Step 6: Final answer
    x = 158,356.51

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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.