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Finding the Fourth Proportional to 194,886.25, 268,943.03 and 105,462.25

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Solution

The fourth proportional to 194,886.25, 268,943.03 and 105,462.25 is: 145,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,886.25 : 268,943.03 = 105,462.25 : x
  2. Step 2: Convert to fraction form
    194,886.25/268,943.03 = 105,462.25/x
  3. Step 3: Cross multiply
    194,886.25x = 268,943.03 × 105,462.25
  4. Step 4: Simplify right side
    194,886.25x = 28,363,336,538.31
  5. Step 5: Solve for x
    x = 28,363,336,538.31/194,886.25
  6. Step 6: Final answer
    x = 145,537.91

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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.