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Finding the Fourth Proportional to 137,072.66, 205,609.59 and 48,278.03

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Solution

The fourth proportional to 137,072.66, 205,609.59 and 48,278.03 is: 72,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,072.66 : 205,609.59 = 48,278.03 : x
  2. Step 2: Convert to fraction form
    137,072.66/205,609.59 = 48,278.03/x
  3. Step 3: Cross multiply
    137,072.66x = 205,609.59 × 48,278.03
  4. Step 4: Simplify right side
    137,072.66x = 9,926,424,926.26
  5. Step 5: Solve for x
    x = 9,926,424,926.26/137,072.66
  6. Step 6: Final answer
    x = 72,417.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.