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Finding the Fourth Proportional to 205,492.49, 283,555.73 and 114,848.63

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Solution

The fourth proportional to 205,492.49, 283,555.73 and 114,848.63 is: 158,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,492.49 : 283,555.73 = 114,848.63 : x
  2. Step 2: Convert to fraction form
    205,492.49/283,555.73 = 114,848.63/x
  3. Step 3: Cross multiply
    205,492.49x = 283,555.73 × 114,848.63
  4. Step 4: Simplify right side
    205,492.49x = 32,565,986,544.91
  5. Step 5: Solve for x
    x = 32,565,986,544.91/205,492.49
  6. Step 6: Final answer
    x = 158,477.75

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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.