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Finding the Fourth Proportional to 105,966, 146,252.52 and 61,254

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Solution

The fourth proportional to 105,966, 146,252.52 and 61,254 is: 84,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,966 : 146,252.52 = 61,254 : x
  2. Step 2: Convert to fraction form
    105,966/146,252.52 = 61,254/x
  3. Step 3: Cross multiply
    105,966x = 146,252.52 × 61,254
  4. Step 4: Simplify right side
    105,966x = 8,958,551,860.08
  5. Step 5: Solve for x
    x = 8,958,551,860.08/105,966
  6. Step 6: Final answer
    x = 84,541.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.