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Finding the Fourth Proportional to 205,440.75, 283,521.42 and 114,796.98

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Solution

The fourth proportional to 205,440.75, 283,521.42 and 114,796.98 is: 158,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,440.75 : 283,521.42 = 114,796.98 : x
  2. Step 2: Convert to fraction form
    205,440.75/283,521.42 = 114,796.98/x
  3. Step 3: Cross multiply
    205,440.75x = 283,521.42 × 114,796.98
  4. Step 4: Simplify right side
    205,440.75x = 32,547,402,781.31
  5. Step 5: Solve for x
    x = 32,547,402,781.31/205,440.75
  6. Step 6: Final answer
    x = 158,427.20

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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.