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Finding the Fourth Proportional to 99,774.64, 137,689.41 and 54,453.58

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Solution

The fourth proportional to 99,774.64, 137,689.41 and 54,453.58 is: 75,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.64 : 137,689.41 = 54,453.58 : x
  2. Step 2: Convert to fraction form
    99,774.64/137,689.41 = 54,453.58/x
  3. Step 3: Cross multiply
    99,774.64x = 137,689.41 × 54,453.58
  4. Step 4: Simplify right side
    99,774.64x = 7,497,681,302.59
  5. Step 5: Solve for x
    x = 7,497,681,302.59/99,774.64
  6. Step 6: Final answer
    x = 75,146.16

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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.