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Finding the Fourth Proportional to 114,787.80, 158,352.50 and 76,565

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Solution

The fourth proportional to 114,787.80, 158,352.50 and 76,565 is: 105,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,787.80 : 158,352.50 = 76,565 : x
  2. Step 2: Convert to fraction form
    114,787.80/158,352.50 = 76,565/x
  3. Step 3: Cross multiply
    114,787.80x = 158,352.50 × 76,565
  4. Step 4: Simplify right side
    114,787.80x = 12,124,259,162.50
  5. Step 5: Solve for x
    x = 12,124,259,162.50/114,787.80
  6. Step 6: Final answer
    x = 105,623.24

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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.