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Finding the Fourth Proportional to 99,506.26, 137,320.29 and 54,185.13

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Solution

The fourth proportional to 99,506.26, 137,320.29 and 54,185.13 is: 74,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506.26 : 137,320.29 = 54,185.13 : x
  2. Step 2: Convert to fraction form
    99,506.26/137,320.29 = 54,185.13/x
  3. Step 3: Cross multiply
    99,506.26x = 137,320.29 × 54,185.13
  4. Step 4: Simplify right side
    99,506.26x = 7,440,717,765.29
  5. Step 5: Solve for x
    x = 7,440,717,765.29/99,506.26
  6. Step 6: Final answer
    x = 74,776.38

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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.