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Finding the Fourth Proportional to 113,965.40, 157,182.58 and 106,326.04

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Solution

The fourth proportional to 113,965.40, 157,182.58 and 106,326.04 is: 146,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,965.40 : 157,182.58 = 106,326.04 : x
  2. Step 2: Convert to fraction form
    113,965.40/157,182.58 = 106,326.04/x
  3. Step 3: Cross multiply
    113,965.40x = 157,182.58 × 106,326.04
  4. Step 4: Simplify right side
    113,965.40x = 16,712,601,288.38
  5. Step 5: Solve for x
    x = 16,712,601,288.38/113,965.40
  6. Step 6: Final answer
    x = 146,646.27

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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.