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Finding the Fourth Proportional to 182,322.78, 251,605.08 and 106,871.28

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Solution

The fourth proportional to 182,322.78, 251,605.08 and 106,871.28 is: 147,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,322.78 : 251,605.08 = 106,871.28 : x
  2. Step 2: Convert to fraction form
    182,322.78/251,605.08 = 106,871.28/x
  3. Step 3: Cross multiply
    182,322.78x = 251,605.08 × 106,871.28
  4. Step 4: Simplify right side
    182,322.78x = 26,889,356,954.10
  5. Step 5: Solve for x
    x = 26,889,356,954.10/182,322.78
  6. Step 6: Final answer
    x = 147,482.16

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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.