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Finding the Fourth Proportional to 183,319.86, 252,908.28 and 106,827.51

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Solution

The fourth proportional to 183,319.86, 252,908.28 and 106,827.51 is: 147,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,319.86 : 252,908.28 = 106,827.51 : x
  2. Step 2: Convert to fraction form
    183,319.86/252,908.28 = 106,827.51/x
  3. Step 3: Cross multiply
    183,319.86x = 252,908.28 × 106,827.51
  4. Step 4: Simplify right side
    183,319.86x = 27,017,561,810.78
  5. Step 5: Solve for x
    x = 27,017,561,810.78/183,319.86
  6. Step 6: Final answer
    x = 147,379.35

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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.