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Finding the Fourth Proportional to 137,053.86, 189,133.08 and 75,800.04

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Solution

The fourth proportional to 137,053.86, 189,133.08 and 75,800.04 is: 104,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,053.86 : 189,133.08 = 75,800.04 : x
  2. Step 2: Convert to fraction form
    137,053.86/189,133.08 = 75,800.04/x
  3. Step 3: Cross multiply
    137,053.86x = 189,133.08 × 75,800.04
  4. Step 4: Simplify right side
    137,053.86x = 14,336,294,035.82
  5. Step 5: Solve for x
    x = 14,336,294,035.82/137,053.86
  6. Step 6: Final answer
    x = 104,603.36

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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.