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Finding the Fourth Proportional to 137,802.54, 189,773.75 and 124,073.64

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Solution

The fourth proportional to 137,802.54, 189,773.75 and 124,073.64 is: 170,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,802.54 : 189,773.75 = 124,073.64 : x
  2. Step 2: Convert to fraction form
    137,802.54/189,773.75 = 124,073.64/x
  3. Step 3: Cross multiply
    137,802.54x = 189,773.75 × 124,073.64
  4. Step 4: Simplify right side
    137,802.54x = 23,545,920,249.13
  5. Step 5: Solve for x
    x = 23,545,920,249.13/137,802.54
  6. Step 6: Final answer
    x = 170,867.10

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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.