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Finding the Fourth Proportional to 76,870.40, 114,541.42 and 68,486

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Solution

The fourth proportional to 76,870.40, 114,541.42 and 68,486 is: 102,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,870.40 : 114,541.42 = 68,486 : x
  2. Step 2: Convert to fraction form
    76,870.40/114,541.42 = 68,486/x
  3. Step 3: Cross multiply
    76,870.40x = 114,541.42 × 68,486
  4. Step 4: Simplify right side
    76,870.40x = 7,844,483,690.12
  5. Step 5: Solve for x
    x = 7,844,483,690.12/76,870.40
  6. Step 6: Final answer
    x = 102,048.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.