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Finding the Fourth Proportional to 137,567.52, 189,843.84 and 89,792.64

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Solution

The fourth proportional to 137,567.52, 189,843.84 and 89,792.64 is: 123,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,567.52 : 189,843.84 = 89,792.64 : x
  2. Step 2: Convert to fraction form
    137,567.52/189,843.84 = 89,792.64/x
  3. Step 3: Cross multiply
    137,567.52x = 189,843.84 × 89,792.64
  4. Step 4: Simplify right side
    137,567.52x = 17,046,579,581.34
  5. Step 5: Solve for x
    x = 17,046,579,581.34/137,567.52
  6. Step 6: Final answer
    x = 123,914.28

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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.