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Finding the Fourth Proportional to 182,903.96, 252,417.26 and 102,326.65

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Solution

The fourth proportional to 182,903.96, 252,417.26 and 102,326.65 is: 141,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,903.96 : 252,417.26 = 102,326.65 : x
  2. Step 2: Convert to fraction form
    182,903.96/252,417.26 = 102,326.65/x
  3. Step 3: Cross multiply
    182,903.96x = 252,417.26 × 102,326.65
  4. Step 4: Simplify right side
    182,903.96x = 25,829,010,844.26
  5. Step 5: Solve for x
    x = 25,829,010,844.26/182,903.96
  6. Step 6: Final answer
    x = 141,216.25

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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.